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Finding the Fourth Proportional to 1,038.20, 1,432.67 and 590.03

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Solution

The fourth proportional to 1,038.20, 1,432.67 and 590.03 is: 814.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.20 : 1,432.67 = 590.03 : x
  2. Step 2: Convert to fraction form
    1,038.20/1,432.67 = 590.03/x
  3. Step 3: Cross multiply
    1,038.20x = 1,432.67 × 590.03
  4. Step 4: Simplify right side
    1,038.20x = 845,312.59
  5. Step 5: Solve for x
    x = 845,312.59/1,038.20
  6. Step 6: Final answer
    x = 814.21

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