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Finding the Fourth Proportional to 1,038.06, 1,432.24 and 595.94

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Solution

The fourth proportional to 1,038.06, 1,432.24 and 595.94 is: 822.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.06 : 1,432.24 = 595.94 : x
  2. Step 2: Convert to fraction form
    1,038.06/1,432.24 = 595.94/x
  3. Step 3: Cross multiply
    1,038.06x = 1,432.24 × 595.94
  4. Step 4: Simplify right side
    1,038.06x = 853,520.45
  5. Step 5: Solve for x
    x = 853,520.45/1,038.06
  6. Step 6: Final answer
    x = 822.23

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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.