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Finding the Fourth Proportional to 765.76, 1,056.54 and 503.86

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Solution

The fourth proportional to 765.76, 1,056.54 and 503.86 is: 695.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.76 : 1,056.54 = 503.86 : x
  2. Step 2: Convert to fraction form
    765.76/1,056.54 = 503.86/x
  3. Step 3: Cross multiply
    765.76x = 1,056.54 × 503.86
  4. Step 4: Simplify right side
    765.76x = 532,348.24
  5. Step 5: Solve for x
    x = 532,348.24/765.76
  6. Step 6: Final answer
    x = 695.19

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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.