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Finding the Fourth Proportional to 1,344.16, 2,013.76 and 695.60

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Solution

The fourth proportional to 1,344.16, 2,013.76 and 695.60 is: 1,042.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,344.16 : 2,013.76 = 695.60 : x
  2. Step 2: Convert to fraction form
    1,344.16/2,013.76 = 695.60/x
  3. Step 3: Cross multiply
    1,344.16x = 2,013.76 × 695.60
  4. Step 4: Simplify right side
    1,344.16x = 1,400,771.46
  5. Step 5: Solve for x
    x = 1,400,771.46/1,344.16
  6. Step 6: Final answer
    x = 1,042.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.