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Finding the Fourth Proportional to 763.46, 1,053.57 and 414.15

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Solution

The fourth proportional to 763.46, 1,053.57 and 414.15 is: 571.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.46 : 1,053.57 = 414.15 : x
  2. Step 2: Convert to fraction form
    763.46/1,053.57 = 414.15/x
  3. Step 3: Cross multiply
    763.46x = 1,053.57 × 414.15
  4. Step 4: Simplify right side
    763.46x = 436,336.02
  5. Step 5: Solve for x
    x = 436,336.02/763.46
  6. Step 6: Final answer
    x = 571.53

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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.