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Finding the Fourth Proportional to 870.03, 1,200.78 and 497.13

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Solution

The fourth proportional to 870.03, 1,200.78 and 497.13 is: 686.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.03 : 1,200.78 = 497.13 : x
  2. Step 2: Convert to fraction form
    870.03/1,200.78 = 497.13/x
  3. Step 3: Cross multiply
    870.03x = 1,200.78 × 497.13
  4. Step 4: Simplify right side
    870.03x = 596,943.76
  5. Step 5: Solve for x
    x = 596,943.76/870.03
  6. Step 6: Final answer
    x = 686.12

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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.