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Finding the Fourth Proportional to 1,117.67, 1,676.54 and 532.74

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Solution

The fourth proportional to 1,117.67, 1,676.54 and 532.74 is: 799.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.67 : 1,676.54 = 532.74 : x
  2. Step 2: Convert to fraction form
    1,117.67/1,676.54 = 532.74/x
  3. Step 3: Cross multiply
    1,117.67x = 1,676.54 × 532.74
  4. Step 4: Simplify right side
    1,117.67x = 893,154.96
  5. Step 5: Solve for x
    x = 893,154.96/1,117.67
  6. Step 6: Final answer
    x = 799.12

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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.