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Finding the Fourth Proportional to 925.47, 1,387.60 and 377.82

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Solution

The fourth proportional to 925.47, 1,387.60 and 377.82 is: 566.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.47 : 1,387.60 = 377.82 : x
  2. Step 2: Convert to fraction form
    925.47/1,387.60 = 377.82/x
  3. Step 3: Cross multiply
    925.47x = 1,387.60 × 377.82
  4. Step 4: Simplify right side
    925.47x = 524,262.09
  5. Step 5: Solve for x
    x = 524,262.09/925.47
  6. Step 6: Final answer
    x = 566.48

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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.