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Finding the Fourth Proportional to 915.88, 1,264.14 and 522.90

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Solution

The fourth proportional to 915.88, 1,264.14 and 522.90 is: 721.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.88 : 1,264.14 = 522.90 : x
  2. Step 2: Convert to fraction form
    915.88/1,264.14 = 522.90/x
  3. Step 3: Cross multiply
    915.88x = 1,264.14 × 522.90
  4. Step 4: Simplify right side
    915.88x = 661,018.81
  5. Step 5: Solve for x
    x = 661,018.81/915.88
  6. Step 6: Final answer
    x = 721.73

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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.