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Finding the Fourth Proportional to 1,062.43, 1,593.69 and 332.02

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Solution

The fourth proportional to 1,062.43, 1,593.69 and 332.02 is: 498.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.43 : 1,593.69 = 332.02 : x
  2. Step 2: Convert to fraction form
    1,062.43/1,593.69 = 332.02/x
  3. Step 3: Cross multiply
    1,062.43x = 1,593.69 × 332.02
  4. Step 4: Simplify right side
    1,062.43x = 529,130.60
  5. Step 5: Solve for x
    x = 529,130.60/1,062.43
  6. Step 6: Final answer
    x = 498.04

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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.