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Finding the Fourth Proportional to 1,339.96, 1,849.24 and 750.50

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Solution

The fourth proportional to 1,339.96, 1,849.24 and 750.50 is: 1,035.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,339.96 : 1,849.24 = 750.50 : x
  2. Step 2: Convert to fraction form
    1,339.96/1,849.24 = 750.50/x
  3. Step 3: Cross multiply
    1,339.96x = 1,849.24 × 750.50
  4. Step 4: Simplify right side
    1,339.96x = 1,387,849.03
  5. Step 5: Solve for x
    x = 1,387,849.03/1,339.96
  6. Step 6: Final answer
    x = 1,035.74

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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.