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Finding the Fourth Proportional to 915.91, 1,264.00 and 523.06

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Solution

The fourth proportional to 915.91, 1,264.00 and 523.06 is: 721.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.91 : 1,264.00 = 523.06 : x
  2. Step 2: Convert to fraction form
    915.91/1,264.00 = 523.06/x
  3. Step 3: Cross multiply
    915.91x = 1,264.00 × 523.06
  4. Step 4: Simplify right side
    915.91x = 661,145.99
  5. Step 5: Solve for x
    x = 661,145.99/915.91
  6. Step 6: Final answer
    x = 721.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.