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Finding the Fourth Proportional to 1,164.68, 1,607.30 and 640.76

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Solution

The fourth proportional to 1,164.68, 1,607.30 and 640.76 is: 884.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.68 : 1,607.30 = 640.76 : x
  2. Step 2: Convert to fraction form
    1,164.68/1,607.30 = 640.76/x
  3. Step 3: Cross multiply
    1,164.68x = 1,607.30 × 640.76
  4. Step 4: Simplify right side
    1,164.68x = 1,029,893.55
  5. Step 5: Solve for x
    x = 1,029,893.55/1,164.68
  6. Step 6: Final answer
    x = 884.27

Related Problems

Find fourth proportional to 582.34, 803.65 and 320.38
Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.