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Finding the Fourth Proportional to 1,062.69, 1,463.58 and 915.27

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Solution

The fourth proportional to 1,062.69, 1,463.58 and 915.27 is: 1,260.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.69 : 1,463.58 = 915.27 : x
  2. Step 2: Convert to fraction form
    1,062.69/1,463.58 = 915.27/x
  3. Step 3: Cross multiply
    1,062.69x = 1,463.58 × 915.27
  4. Step 4: Simplify right side
    1,062.69x = 1,339,570.87
  5. Step 5: Solve for x
    x = 1,339,570.87/1,062.69
  6. Step 6: Final answer
    x = 1,260.55

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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.