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Finding the Fourth Proportional to 1,562.13, 2,343.27 and 522.09

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Solution

The fourth proportional to 1,562.13, 2,343.27 and 522.09 is: 783.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,562.13 : 2,343.27 = 522.09 : x
  2. Step 2: Convert to fraction form
    1,562.13/2,343.27 = 522.09/x
  3. Step 3: Cross multiply
    1,562.13x = 2,343.27 × 522.09
  4. Step 4: Simplify right side
    1,562.13x = 1,223,397.83
  5. Step 5: Solve for x
    x = 1,223,397.83/1,562.13
  6. Step 6: Final answer
    x = 783.16

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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.