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Finding the Fourth Proportional to 806.60, 1,202.88 and 709.55

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Solution

The fourth proportional to 806.60, 1,202.88 and 709.55 is: 1,058.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.60 : 1,202.88 = 709.55 : x
  2. Step 2: Convert to fraction form
    806.60/1,202.88 = 709.55/x
  3. Step 3: Cross multiply
    806.60x = 1,202.88 × 709.55
  4. Step 4: Simplify right side
    806.60x = 853,497.49
  5. Step 5: Solve for x
    x = 853,497.49/806.60
  6. Step 6: Final answer
    x = 1,058.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.