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Finding the Fourth Proportional to 1,363.31, 2,044.56 and 497.69

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Solution

The fourth proportional to 1,363.31, 2,044.56 and 497.69 is: 746.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,363.31 : 2,044.56 = 497.69 : x
  2. Step 2: Convert to fraction form
    1,363.31/2,044.56 = 497.69/x
  3. Step 3: Cross multiply
    1,363.31x = 2,044.56 × 497.69
  4. Step 4: Simplify right side
    1,363.31x = 1,017,557.07
  5. Step 5: Solve for x
    x = 1,017,557.07/1,363.31
  6. Step 6: Final answer
    x = 746.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.