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Finding the Fourth Proportional to 1,130.87, 1,691.63 and 1,061.75

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Solution

The fourth proportional to 1,130.87, 1,691.63 and 1,061.75 is: 1,588.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.87 : 1,691.63 = 1,061.75 : x
  2. Step 2: Convert to fraction form
    1,130.87/1,691.63 = 1,061.75/x
  3. Step 3: Cross multiply
    1,130.87x = 1,691.63 × 1,061.75
  4. Step 4: Simplify right side
    1,130.87x = 1,796,082.84
  5. Step 5: Solve for x
    x = 1,796,082.84/1,130.87
  6. Step 6: Final answer
    x = 1,588.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.