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Finding the Fourth Proportional to 763.61, 1,053.73 and 431.96

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Solution

The fourth proportional to 763.61, 1,053.73 and 431.96 is: 596.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.61 : 1,053.73 = 431.96 : x
  2. Step 2: Convert to fraction form
    763.61/1,053.73 = 431.96/x
  3. Step 3: Cross multiply
    763.61x = 1,053.73 × 431.96
  4. Step 4: Simplify right side
    763.61x = 455,170.77
  5. Step 5: Solve for x
    x = 455,170.77/763.61
  6. Step 6: Final answer
    x = 596.08

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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.