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Finding the Fourth Proportional to 1,065.18, 1,596.14 and 717.23

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Solution

The fourth proportional to 1,065.18, 1,596.14 and 717.23 is: 1,074.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.18 : 1,596.14 = 717.23 : x
  2. Step 2: Convert to fraction form
    1,065.18/1,596.14 = 717.23/x
  3. Step 3: Cross multiply
    1,065.18x = 1,596.14 × 717.23
  4. Step 4: Simplify right side
    1,065.18x = 1,144,787.93
  5. Step 5: Solve for x
    x = 1,144,787.93/1,065.18
  6. Step 6: Final answer
    x = 1,074.74

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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.