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Finding the Fourth Proportional to 1,130.73, 1,696.37 and 927.24

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Solution

The fourth proportional to 1,130.73, 1,696.37 and 927.24 is: 1,391.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.73 : 1,696.37 = 927.24 : x
  2. Step 2: Convert to fraction form
    1,130.73/1,696.37 = 927.24/x
  3. Step 3: Cross multiply
    1,130.73x = 1,696.37 × 927.24
  4. Step 4: Simplify right side
    1,130.73x = 1,572,937.48
  5. Step 5: Solve for x
    x = 1,572,937.48/1,130.73
  6. Step 6: Final answer
    x = 1,391.08

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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.