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Finding the Fourth Proportional to 1,562.36, 2,343.31 and 588.24

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Solution

The fourth proportional to 1,562.36, 2,343.31 and 588.24 is: 882.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,562.36 : 2,343.31 = 588.24 : x
  2. Step 2: Convert to fraction form
    1,562.36/2,343.31 = 588.24/x
  3. Step 3: Cross multiply
    1,562.36x = 2,343.31 × 588.24
  4. Step 4: Simplify right side
    1,562.36x = 1,378,427.20
  5. Step 5: Solve for x
    x = 1,378,427.20/1,562.36
  6. Step 6: Final answer
    x = 882.28

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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.