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Finding the Fourth Proportional to 1,046.36, 1,569.80 and 738.82

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Solution

The fourth proportional to 1,046.36, 1,569.80 and 738.82 is: 1,108.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.36 : 1,569.80 = 738.82 : x
  2. Step 2: Convert to fraction form
    1,046.36/1,569.80 = 738.82/x
  3. Step 3: Cross multiply
    1,046.36x = 1,569.80 × 738.82
  4. Step 4: Simplify right side
    1,046.36x = 1,159,797.56
  5. Step 5: Solve for x
    x = 1,159,797.56/1,046.36
  6. Step 6: Final answer
    x = 1,108.41

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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.