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Finding the Fourth Proportional to 773.81, 1,068.14 and 524.63

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Solution

The fourth proportional to 773.81, 1,068.14 and 524.63 is: 724.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.81 : 1,068.14 = 524.63 : x
  2. Step 2: Convert to fraction form
    773.81/1,068.14 = 524.63/x
  3. Step 3: Cross multiply
    773.81x = 1,068.14 × 524.63
  4. Step 4: Simplify right side
    773.81x = 560,370.32
  5. Step 5: Solve for x
    x = 560,370.32/773.81
  6. Step 6: Final answer
    x = 724.18

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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.