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Finding the Fourth Proportional to 1,130.97, 1,561.82 and 1,069.62

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Solution

The fourth proportional to 1,130.97, 1,561.82 and 1,069.62 is: 1,477.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.97 : 1,561.82 = 1,069.62 : x
  2. Step 2: Convert to fraction form
    1,130.97/1,561.82 = 1,069.62/x
  3. Step 3: Cross multiply
    1,130.97x = 1,561.82 × 1,069.62
  4. Step 4: Simplify right side
    1,130.97x = 1,670,553.91
  5. Step 5: Solve for x
    x = 1,670,553.91/1,130.97
  6. Step 6: Final answer
    x = 1,477.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.