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Finding the Fourth Proportional to 1,117.43, 1,676.48 and 424.31

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Solution

The fourth proportional to 1,117.43, 1,676.48 and 424.31 is: 636.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.43 : 1,676.48 = 424.31 : x
  2. Step 2: Convert to fraction form
    1,117.43/1,676.48 = 424.31/x
  3. Step 3: Cross multiply
    1,117.43x = 1,676.48 × 424.31
  4. Step 4: Simplify right side
    1,117.43x = 711,347.23
  5. Step 5: Solve for x
    x = 711,347.23/1,117.43
  6. Step 6: Final answer
    x = 636.59

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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.