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Finding the Fourth Proportional to 870.30, 1,200.98 and 497.24

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Solution

The fourth proportional to 870.30, 1,200.98 and 497.24 is: 686.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.30 : 1,200.98 = 497.24 : x
  2. Step 2: Convert to fraction form
    870.30/1,200.98 = 497.24/x
  3. Step 3: Cross multiply
    870.30x = 1,200.98 × 497.24
  4. Step 4: Simplify right side
    870.30x = 597,166.80
  5. Step 5: Solve for x
    x = 597,166.80/870.30
  6. Step 6: Final answer
    x = 686.16

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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.