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Finding the Fourth Proportional to 1,164.96, 1,746.24 and 670.74

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Solution

The fourth proportional to 1,164.96, 1,746.24 and 670.74 is: 1,005.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.96 : 1,746.24 = 670.74 : x
  2. Step 2: Convert to fraction form
    1,164.96/1,746.24 = 670.74/x
  3. Step 3: Cross multiply
    1,164.96x = 1,746.24 × 670.74
  4. Step 4: Simplify right side
    1,164.96x = 1,171,273.02
  5. Step 5: Solve for x
    x = 1,171,273.02/1,164.96
  6. Step 6: Final answer
    x = 1,005.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.