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Finding the Fourth Proportional to 1,166.32, 1,609.57 and 724.36

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Solution

The fourth proportional to 1,166.32, 1,609.57 and 724.36 is: 999.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.32 : 1,609.57 = 724.36 : x
  2. Step 2: Convert to fraction form
    1,166.32/1,609.57 = 724.36/x
  3. Step 3: Cross multiply
    1,166.32x = 1,609.57 × 724.36
  4. Step 4: Simplify right side
    1,166.32x = 1,165,908.13
  5. Step 5: Solve for x
    x = 1,165,908.13/1,166.32
  6. Step 6: Final answer
    x = 999.65

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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.