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Finding the Fourth Proportional to 870.33, 1,201.13 and 497.33

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Solution

The fourth proportional to 870.33, 1,201.13 and 497.33 is: 686.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.33 : 1,201.13 = 497.33 : x
  2. Step 2: Convert to fraction form
    870.33/1,201.13 = 497.33/x
  3. Step 3: Cross multiply
    870.33x = 1,201.13 × 497.33
  4. Step 4: Simplify right side
    870.33x = 597,349.49
  5. Step 5: Solve for x
    x = 597,349.49/870.33
  6. Step 6: Final answer
    x = 686.35

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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.