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Finding the Fourth Proportional to 1,038.48, 1,433.12 and 572.74

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Solution

The fourth proportional to 1,038.48, 1,433.12 and 572.74 is: 790.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.48 : 1,433.12 = 572.74 : x
  2. Step 2: Convert to fraction form
    1,038.48/1,433.12 = 572.74/x
  3. Step 3: Cross multiply
    1,038.48x = 1,433.12 × 572.74
  4. Step 4: Simplify right side
    1,038.48x = 820,805.15
  5. Step 5: Solve for x
    x = 820,805.15/1,038.48
  6. Step 6: Final answer
    x = 790.39

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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.