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Finding the Fourth Proportional to 1,339.46, 1,848.42 and 750.14

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Solution

The fourth proportional to 1,339.46, 1,848.42 and 750.14 is: 1,035.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,339.46 : 1,848.42 = 750.14 : x
  2. Step 2: Convert to fraction form
    1,339.46/1,848.42 = 750.14/x
  3. Step 3: Cross multiply
    1,339.46x = 1,848.42 × 750.14
  4. Step 4: Simplify right side
    1,339.46x = 1,386,573.78
  5. Step 5: Solve for x
    x = 1,386,573.78/1,339.46
  6. Step 6: Final answer
    x = 1,035.17

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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.