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Finding the Fourth Proportional to 1,117.76, 1,676.57 and 337.79

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Solution

The fourth proportional to 1,117.76, 1,676.57 and 337.79 is: 506.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.76 : 1,676.57 = 337.79 : x
  2. Step 2: Convert to fraction form
    1,117.76/1,676.57 = 337.79/x
  3. Step 3: Cross multiply
    1,117.76x = 1,676.57 × 337.79
  4. Step 4: Simplify right side
    1,117.76x = 566,318.51
  5. Step 5: Solve for x
    x = 566,318.51/1,117.76
  6. Step 6: Final answer
    x = 506.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.