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Finding the Fourth Proportional to 1,038.38, 1,433.03 and 572.63

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Solution

The fourth proportional to 1,038.38, 1,433.03 and 572.63 is: 790.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.38 : 1,433.03 = 572.63 : x
  2. Step 2: Convert to fraction form
    1,038.38/1,433.03 = 572.63/x
  3. Step 3: Cross multiply
    1,038.38x = 1,433.03 × 572.63
  4. Step 4: Simplify right side
    1,038.38x = 820,585.94
  5. Step 5: Solve for x
    x = 820,585.94/1,038.38
  6. Step 6: Final answer
    x = 790.26

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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.