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Finding the Fourth Proportional to 915.40, 1,262.80 and 566.04

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Solution

The fourth proportional to 915.40, 1,262.80 and 566.04 is: 780.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.40 : 1,262.80 = 566.04 : x
  2. Step 2: Convert to fraction form
    915.40/1,262.80 = 566.04/x
  3. Step 3: Cross multiply
    915.40x = 1,262.80 × 566.04
  4. Step 4: Simplify right side
    915.40x = 714,795.31
  5. Step 5: Solve for x
    x = 714,795.31/915.40
  6. Step 6: Final answer
    x = 780.86

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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.