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Finding the Fourth Proportional to 1,061.75, 1,465.22 and 596.15

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Solution

The fourth proportional to 1,061.75, 1,465.22 and 596.15 is: 822.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.75 : 1,465.22 = 596.15 : x
  2. Step 2: Convert to fraction form
    1,061.75/1,465.22 = 596.15/x
  3. Step 3: Cross multiply
    1,061.75x = 1,465.22 × 596.15
  4. Step 4: Simplify right side
    1,061.75x = 873,490.90
  5. Step 5: Solve for x
    x = 873,490.90/1,061.75
  6. Step 6: Final answer
    x = 822.69

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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.