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Finding the Fourth Proportional to 871.00, 1,202.10 and 497.89

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Solution

The fourth proportional to 871.00, 1,202.10 and 497.89 is: 687.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.00 : 1,202.10 = 497.89 : x
  2. Step 2: Convert to fraction form
    871.00/1,202.10 = 497.89/x
  3. Step 3: Cross multiply
    871.00x = 1,202.10 × 497.89
  4. Step 4: Simplify right side
    871.00x = 598,513.20
  5. Step 5: Solve for x
    x = 598,513.20/871.00
  6. Step 6: Final answer
    x = 687.16

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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.