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Finding the Fourth Proportional to 925.26, 1,387.50 and 377.07

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Solution

The fourth proportional to 925.26, 1,387.50 and 377.07 is: 565.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.26 : 1,387.50 = 377.07 : x
  2. Step 2: Convert to fraction form
    925.26/1,387.50 = 377.07/x
  3. Step 3: Cross multiply
    925.26x = 1,387.50 × 377.07
  4. Step 4: Simplify right side
    925.26x = 523,184.63
  5. Step 5: Solve for x
    x = 523,184.63/925.26
  6. Step 6: Final answer
    x = 565.45

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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.