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Finding the Fourth Proportional to 1,038.33, 1,432.13 and 679.19

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Solution

The fourth proportional to 1,038.33, 1,432.13 and 679.19 is: 936.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.33 : 1,432.13 = 679.19 : x
  2. Step 2: Convert to fraction form
    1,038.33/1,432.13 = 679.19/x
  3. Step 3: Cross multiply
    1,038.33x = 1,432.13 × 679.19
  4. Step 4: Simplify right side
    1,038.33x = 972,677.82
  5. Step 5: Solve for x
    x = 972,677.82/1,038.33
  6. Step 6: Final answer
    x = 936.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.