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Finding the Fourth Proportional to 1,117.32, 1,676.90 and 424.70

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Solution

The fourth proportional to 1,117.32, 1,676.90 and 424.70 is: 637.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.32 : 1,676.90 = 424.70 : x
  2. Step 2: Convert to fraction form
    1,117.32/1,676.90 = 424.70/x
  3. Step 3: Cross multiply
    1,117.32x = 1,676.90 × 424.70
  4. Step 4: Simplify right side
    1,117.32x = 712,168.92
  5. Step 5: Solve for x
    x = 712,168.92/1,117.32
  6. Step 6: Final answer
    x = 637.39

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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.