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Finding the Fourth Proportional to 1,372.47, 2,058.71 and 332.48

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Solution

The fourth proportional to 1,372.47, 2,058.71 and 332.48 is: 498.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,372.47 : 2,058.71 = 332.48 : x
  2. Step 2: Convert to fraction form
    1,372.47/2,058.71 = 332.48/x
  3. Step 3: Cross multiply
    1,372.47x = 2,058.71 × 332.48
  4. Step 4: Simplify right side
    1,372.47x = 684,474.14
  5. Step 5: Solve for x
    x = 684,474.14/1,372.47
  6. Step 6: Final answer
    x = 498.72

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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.