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Finding the Fourth Proportional to 1,038.20, 1,432.80 and 572.48

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Solution

The fourth proportional to 1,038.20, 1,432.80 and 572.48 is: 790.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.20 : 1,432.80 = 572.48 : x
  2. Step 2: Convert to fraction form
    1,038.20/1,432.80 = 572.48/x
  3. Step 3: Cross multiply
    1,038.20x = 1,432.80 × 572.48
  4. Step 4: Simplify right side
    1,038.20x = 820,249.34
  5. Step 5: Solve for x
    x = 820,249.34/1,038.20
  6. Step 6: Final answer
    x = 790.07

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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.