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Finding the Fourth Proportional to 757.66, 1,045.71 and 570.88

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Solution

The fourth proportional to 757.66, 1,045.71 and 570.88 is: 787.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.66 : 1,045.71 = 570.88 : x
  2. Step 2: Convert to fraction form
    757.66/1,045.71 = 570.88/x
  3. Step 3: Cross multiply
    757.66x = 1,045.71 × 570.88
  4. Step 4: Simplify right side
    757.66x = 596,974.92
  5. Step 5: Solve for x
    x = 596,974.92/757.66
  6. Step 6: Final answer
    x = 787.92

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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.