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Finding the Fourth Proportional to 915.80, 1,263.78 and 522.83

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Solution

The fourth proportional to 915.80, 1,263.78 and 522.83 is: 721.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.80 : 1,263.78 = 522.83 : x
  2. Step 2: Convert to fraction form
    915.80/1,263.78 = 522.83/x
  3. Step 3: Cross multiply
    915.80x = 1,263.78 × 522.83
  4. Step 4: Simplify right side
    915.80x = 660,742.10
  5. Step 5: Solve for x
    x = 660,742.10/915.80
  6. Step 6: Final answer
    x = 721.49

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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.