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Finding the Fourth Proportional to 763.42, 1,053.33 and 452.86

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Solution

The fourth proportional to 763.42, 1,053.33 and 452.86 is: 624.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.42 : 1,053.33 = 452.86 : x
  2. Step 2: Convert to fraction form
    763.42/1,053.33 = 452.86/x
  3. Step 3: Cross multiply
    763.42x = 1,053.33 × 452.86
  4. Step 4: Simplify right side
    763.42x = 477,011.02
  5. Step 5: Solve for x
    x = 477,011.02/763.42
  6. Step 6: Final answer
    x = 624.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.