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Finding the Fourth Proportional to 1,164.30, 1,607.15 and 771.45

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Solution

The fourth proportional to 1,164.30, 1,607.15 and 771.45 is: 1,064.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.30 : 1,607.15 = 771.45 : x
  2. Step 2: Convert to fraction form
    1,164.30/1,607.15 = 771.45/x
  3. Step 3: Cross multiply
    1,164.30x = 1,607.15 × 771.45
  4. Step 4: Simplify right side
    1,164.30x = 1,239,835.87
  5. Step 5: Solve for x
    x = 1,239,835.87/1,164.30
  6. Step 6: Final answer
    x = 1,064.88

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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.