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Finding the Fourth Proportional to 1,172.75, 1,766.95 and 1,061.71

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Solution

The fourth proportional to 1,172.75, 1,766.95 and 1,061.71 is: 1,599.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.75 : 1,766.95 = 1,061.71 : x
  2. Step 2: Convert to fraction form
    1,172.75/1,766.95 = 1,061.71/x
  3. Step 3: Cross multiply
    1,172.75x = 1,766.95 × 1,061.71
  4. Step 4: Simplify right side
    1,172.75x = 1,875,981.41
  5. Step 5: Solve for x
    x = 1,875,981.41/1,172.75
  6. Step 6: Final answer
    x = 1,599.65

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.