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Finding the Fourth Proportional to 870.73, 1,202.06 and 592.45

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Solution

The fourth proportional to 870.73, 1,202.06 and 592.45 is: 817.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.73 : 1,202.06 = 592.45 : x
  2. Step 2: Convert to fraction form
    870.73/1,202.06 = 592.45/x
  3. Step 3: Cross multiply
    870.73x = 1,202.06 × 592.45
  4. Step 4: Simplify right side
    870.73x = 712,160.45
  5. Step 5: Solve for x
    x = 712,160.45/870.73
  6. Step 6: Final answer
    x = 817.89

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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.