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Finding the Fourth Proportional to 1,117.54, 1,676.16 and 295.76

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Solution

The fourth proportional to 1,117.54, 1,676.16 and 295.76 is: 443.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.54 : 1,676.16 = 295.76 : x
  2. Step 2: Convert to fraction form
    1,117.54/1,676.16 = 295.76/x
  3. Step 3: Cross multiply
    1,117.54x = 1,676.16 × 295.76
  4. Step 4: Simplify right side
    1,117.54x = 495,741.08
  5. Step 5: Solve for x
    x = 495,741.08/1,117.54
  6. Step 6: Final answer
    x = 443.60

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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.