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Finding the Fourth Proportional to 1,146.12, 1,582.17 and 883.68

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Solution

The fourth proportional to 1,146.12, 1,582.17 and 883.68 is: 1,219.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.12 : 1,582.17 = 883.68 : x
  2. Step 2: Convert to fraction form
    1,146.12/1,582.17 = 883.68/x
  3. Step 3: Cross multiply
    1,146.12x = 1,582.17 × 883.68
  4. Step 4: Simplify right side
    1,146.12x = 1,398,131.99
  5. Step 5: Solve for x
    x = 1,398,131.99/1,146.12
  6. Step 6: Final answer
    x = 1,219.88

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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.