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Finding the Fourth Proportional to 1,151.04, 1,589.04 and 1,127.28

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Solution

The fourth proportional to 1,151.04, 1,589.04 and 1,127.28 is: 1,556.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.04 : 1,589.04 = 1,127.28 : x
  2. Step 2: Convert to fraction form
    1,151.04/1,589.04 = 1,127.28/x
  3. Step 3: Cross multiply
    1,151.04x = 1,589.04 × 1,127.28
  4. Step 4: Simplify right side
    1,151.04x = 1,791,293.01
  5. Step 5: Solve for x
    x = 1,791,293.01/1,151.04
  6. Step 6: Final answer
    x = 1,556.24

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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.