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Finding the Fourth Proportional to 1,129.54, 1,558.66 and 632.14

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Solution

The fourth proportional to 1,129.54, 1,558.66 and 632.14 is: 872.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129.54 : 1,558.66 = 632.14 : x
  2. Step 2: Convert to fraction form
    1,129.54/1,558.66 = 632.14/x
  3. Step 3: Cross multiply
    1,129.54x = 1,558.66 × 632.14
  4. Step 4: Simplify right side
    1,129.54x = 985,291.33
  5. Step 5: Solve for x
    x = 985,291.33/1,129.54
  6. Step 6: Final answer
    x = 872.29

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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.