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Finding the Fourth Proportional to 1,217.56, 1,678.76 and 844.86

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Solution

The fourth proportional to 1,217.56, 1,678.76 and 844.86 is: 1,164.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.56 : 1,678.76 = 844.86 : x
  2. Step 2: Convert to fraction form
    1,217.56/1,678.76 = 844.86/x
  3. Step 3: Cross multiply
    1,217.56x = 1,678.76 × 844.86
  4. Step 4: Simplify right side
    1,217.56x = 1,418,317.17
  5. Step 5: Solve for x
    x = 1,418,317.17/1,217.56
  6. Step 6: Final answer
    x = 1,164.88

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1.5x scale

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.