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Finding the Fourth Proportional to 870.49, 1,201.17 and 497.44

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Solution

The fourth proportional to 870.49, 1,201.17 and 497.44 is: 686.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.49 : 1,201.17 = 497.44 : x
  2. Step 2: Convert to fraction form
    870.49/1,201.17 = 497.44/x
  3. Step 3: Cross multiply
    870.49x = 1,201.17 × 497.44
  4. Step 4: Simplify right side
    870.49x = 597,510.00
  5. Step 5: Solve for x
    x = 597,510.00/870.49
  6. Step 6: Final answer
    x = 686.41

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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.