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Finding the Fourth Proportional to 1,117.52, 1,676.21 and 295.78

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Solution

The fourth proportional to 1,117.52, 1,676.21 and 295.78 is: 443.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.52 : 1,676.21 = 295.78 : x
  2. Step 2: Convert to fraction form
    1,117.52/1,676.21 = 295.78/x
  3. Step 3: Cross multiply
    1,117.52x = 1,676.21 × 295.78
  4. Step 4: Simplify right side
    1,117.52x = 495,783.72
  5. Step 5: Solve for x
    x = 495,783.72/1,117.52
  6. Step 6: Final answer
    x = 443.65

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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.