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Finding the Fourth Proportional to 1,052.16, 1,452.02 and 586.44

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Solution

The fourth proportional to 1,052.16, 1,452.02 and 586.44 is: 809.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.16 : 1,452.02 = 586.44 : x
  2. Step 2: Convert to fraction form
    1,052.16/1,452.02 = 586.44/x
  3. Step 3: Cross multiply
    1,052.16x = 1,452.02 × 586.44
  4. Step 4: Simplify right side
    1,052.16x = 851,522.61
  5. Step 5: Solve for x
    x = 851,522.61/1,052.16
  6. Step 6: Final answer
    x = 809.31

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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.