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Finding the Fourth Proportional to 763.57, 1,144.65 and 397.92

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Solution

The fourth proportional to 763.57, 1,144.65 and 397.92 is: 596.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.57 : 1,144.65 = 397.92 : x
  2. Step 2: Convert to fraction form
    763.57/1,144.65 = 397.92/x
  3. Step 3: Cross multiply
    763.57x = 1,144.65 × 397.92
  4. Step 4: Simplify right side
    763.57x = 455,479.13
  5. Step 5: Solve for x
    x = 455,479.13/763.57
  6. Step 6: Final answer
    x = 596.51

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Double scale
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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.