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Finding the Fourth Proportional to 870.35, 1,201.17 and 591.17

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Solution

The fourth proportional to 870.35, 1,201.17 and 591.17 is: 815.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.35 : 1,201.17 = 591.17 : x
  2. Step 2: Convert to fraction form
    870.35/1,201.17 = 591.17/x
  3. Step 3: Cross multiply
    870.35x = 1,201.17 × 591.17
  4. Step 4: Simplify right side
    870.35x = 710,095.67
  5. Step 5: Solve for x
    x = 710,095.67/870.35
  6. Step 6: Final answer
    x = 815.87

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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.