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Finding the Fourth Proportional to 1,177.69, 1,756.25 and 1,032.11

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Solution

The fourth proportional to 1,177.69, 1,756.25 and 1,032.11 is: 1,539.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.69 : 1,756.25 = 1,032.11 : x
  2. Step 2: Convert to fraction form
    1,177.69/1,756.25 = 1,032.11/x
  3. Step 3: Cross multiply
    1,177.69x = 1,756.25 × 1,032.11
  4. Step 4: Simplify right side
    1,177.69x = 1,812,639.70
  5. Step 5: Solve for x
    x = 1,812,639.70/1,177.69
  6. Step 6: Final answer
    x = 1,539.15

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.