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Finding the Fourth Proportional to 971.06, 1,452.33 and 559.17

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Solution

The fourth proportional to 971.06, 1,452.33 and 559.17 is: 836.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.06 : 1,452.33 = 559.17 : x
  2. Step 2: Convert to fraction form
    971.06/1,452.33 = 559.17/x
  3. Step 3: Cross multiply
    971.06x = 1,452.33 × 559.17
  4. Step 4: Simplify right side
    971.06x = 812,099.37
  5. Step 5: Solve for x
    x = 812,099.37/971.06
  6. Step 6: Final answer
    x = 836.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.