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Finding the Fourth Proportional to 1,041.74, 1,562.30 and 392.32

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Solution

The fourth proportional to 1,041.74, 1,562.30 and 392.32 is: 588.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041.74 : 1,562.30 = 392.32 : x
  2. Step 2: Convert to fraction form
    1,041.74/1,562.30 = 392.32/x
  3. Step 3: Cross multiply
    1,041.74x = 1,562.30 × 392.32
  4. Step 4: Simplify right side
    1,041.74x = 612,921.54
  5. Step 5: Solve for x
    x = 612,921.54/1,041.74
  6. Step 6: Final answer
    x = 588.36

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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.