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Finding the Fourth Proportional to 752.16, 1,122.48 and 670.14

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Solution

The fourth proportional to 752.16, 1,122.48 and 670.14 is: 1,000.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.16 : 1,122.48 = 670.14 : x
  2. Step 2: Convert to fraction form
    752.16/1,122.48 = 670.14/x
  3. Step 3: Cross multiply
    752.16x = 1,122.48 × 670.14
  4. Step 4: Simplify right side
    752.16x = 752,218.75
  5. Step 5: Solve for x
    x = 752,218.75/752.16
  6. Step 6: Final answer
    x = 1,000.08

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.