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Finding the Fourth Proportional to 925.51, 1,387.34 and 432.07

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Solution

The fourth proportional to 925.51, 1,387.34 and 432.07 is: 647.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.51 : 1,387.34 = 432.07 : x
  2. Step 2: Convert to fraction form
    925.51/1,387.34 = 432.07/x
  3. Step 3: Cross multiply
    925.51x = 1,387.34 × 432.07
  4. Step 4: Simplify right side
    925.51x = 599,429.19
  5. Step 5: Solve for x
    x = 599,429.19/925.51
  6. Step 6: Final answer
    x = 647.67

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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.