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Finding the Fourth Proportional to 1,117.45, 1,676.12 and 295.75

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Solution

The fourth proportional to 1,117.45, 1,676.12 and 295.75 is: 443.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.45 : 1,676.12 = 295.75 : x
  2. Step 2: Convert to fraction form
    1,117.45/1,676.12 = 295.75/x
  3. Step 3: Cross multiply
    1,117.45x = 1,676.12 × 295.75
  4. Step 4: Simplify right side
    1,117.45x = 495,711.01
  5. Step 5: Solve for x
    x = 495,711.01/1,117.45
  6. Step 6: Final answer
    x = 443.61

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Double scale
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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.