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Finding the Fourth Proportional to 1,150.13, 1,587.53 and 684.29

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Solution

The fourth proportional to 1,150.13, 1,587.53 and 684.29 is: 944.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.13 : 1,587.53 = 684.29 : x
  2. Step 2: Convert to fraction form
    1,150.13/1,587.53 = 684.29/x
  3. Step 3: Cross multiply
    1,150.13x = 1,587.53 × 684.29
  4. Step 4: Simplify right side
    1,150.13x = 1,086,324.68
  5. Step 5: Solve for x
    x = 1,086,324.68/1,150.13
  6. Step 6: Final answer
    x = 944.53

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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.