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Finding the Fourth Proportional to 915.84, 1,263.48 and 654.24

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Solution

The fourth proportional to 915.84, 1,263.48 and 654.24 is: 902.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.84 : 1,263.48 = 654.24 : x
  2. Step 2: Convert to fraction form
    915.84/1,263.48 = 654.24/x
  3. Step 3: Cross multiply
    915.84x = 1,263.48 × 654.24
  4. Step 4: Simplify right side
    915.84x = 826,619.16
  5. Step 5: Solve for x
    x = 826,619.16/915.84
  6. Step 6: Final answer
    x = 902.58

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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.