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Finding the Fourth Proportional to 1,042.04, 1,437.89 and 599.82

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Solution

The fourth proportional to 1,042.04, 1,437.89 and 599.82 is: 827.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.04 : 1,437.89 = 599.82 : x
  2. Step 2: Convert to fraction form
    1,042.04/1,437.89 = 599.82/x
  3. Step 3: Cross multiply
    1,042.04x = 1,437.89 × 599.82
  4. Step 4: Simplify right side
    1,042.04x = 862,472.18
  5. Step 5: Solve for x
    x = 862,472.18/1,042.04
  6. Step 6: Final answer
    x = 827.68

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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.