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Finding the Fourth Proportional to 1,124.15, 1,552.16 and 682.65

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Solution

The fourth proportional to 1,124.15, 1,552.16 and 682.65 is: 942.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124.15 : 1,552.16 = 682.65 : x
  2. Step 2: Convert to fraction form
    1,124.15/1,552.16 = 682.65/x
  3. Step 3: Cross multiply
    1,124.15x = 1,552.16 × 682.65
  4. Step 4: Simplify right side
    1,124.15x = 1,059,582.02
  5. Step 5: Solve for x
    x = 1,059,582.02/1,124.15
  6. Step 6: Final answer
    x = 942.56

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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.