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Finding the Fourth Proportional to 1,339.66, 1,848.56 and 750.10

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Solution

The fourth proportional to 1,339.66, 1,848.56 and 750.10 is: 1,035.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,339.66 : 1,848.56 = 750.10 : x
  2. Step 2: Convert to fraction form
    1,339.66/1,848.56 = 750.10/x
  3. Step 3: Cross multiply
    1,339.66x = 1,848.56 × 750.10
  4. Step 4: Simplify right side
    1,339.66x = 1,386,593.74
  5. Step 5: Solve for x
    x = 1,386,593.74/1,339.66
  6. Step 6: Final answer
    x = 1,035.04

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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.