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Finding the Fourth Proportional to 1,344.40, 2,017.23 and 695.13

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Solution

The fourth proportional to 1,344.40, 2,017.23 and 695.13 is: 1,043.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,344.40 : 2,017.23 = 695.13 : x
  2. Step 2: Convert to fraction form
    1,344.40/2,017.23 = 695.13/x
  3. Step 3: Cross multiply
    1,344.40x = 2,017.23 × 695.13
  4. Step 4: Simplify right side
    1,344.40x = 1,402,237.09
  5. Step 5: Solve for x
    x = 1,402,237.09/1,344.40
  6. Step 6: Final answer
    x = 1,043.02

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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.