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Finding the Fourth Proportional to 1,194.52, 1,648.66 and 752.12

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Solution

The fourth proportional to 1,194.52, 1,648.66 and 752.12 is: 1,038.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.52 : 1,648.66 = 752.12 : x
  2. Step 2: Convert to fraction form
    1,194.52/1,648.66 = 752.12/x
  3. Step 3: Cross multiply
    1,194.52x = 1,648.66 × 752.12
  4. Step 4: Simplify right side
    1,194.52x = 1,239,990.16
  5. Step 5: Solve for x
    x = 1,239,990.16/1,194.52
  6. Step 6: Final answer
    x = 1,038.07

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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.