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Finding the Fourth Proportional to 1,036.31, 1,429.52 and 594.14

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Solution

The fourth proportional to 1,036.31, 1,429.52 and 594.14 is: 819.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.31 : 1,429.52 = 594.14 : x
  2. Step 2: Convert to fraction form
    1,036.31/1,429.52 = 594.14/x
  3. Step 3: Cross multiply
    1,036.31x = 1,429.52 × 594.14
  4. Step 4: Simplify right side
    1,036.31x = 849,324.89
  5. Step 5: Solve for x
    x = 849,324.89/1,036.31
  6. Step 6: Final answer
    x = 819.57

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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.