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Finding the Fourth Proportional to 1,007.52, 1,390.56 and 758.46

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Solution

The fourth proportional to 1,007.52, 1,390.56 and 758.46 is: 1,046.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.52 : 1,390.56 = 758.46 : x
  2. Step 2: Convert to fraction form
    1,007.52/1,390.56 = 758.46/x
  3. Step 3: Cross multiply
    1,007.52x = 1,390.56 × 758.46
  4. Step 4: Simplify right side
    1,007.52x = 1,054,684.14
  5. Step 5: Solve for x
    x = 1,054,684.14/1,007.52
  6. Step 6: Final answer
    x = 1,046.81

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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.