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Finding the Fourth Proportional to 1,117.19, 1,674.61 and 492.82

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Solution

The fourth proportional to 1,117.19, 1,674.61 and 492.82 is: 738.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.19 : 1,674.61 = 492.82 : x
  2. Step 2: Convert to fraction form
    1,117.19/1,674.61 = 492.82/x
  3. Step 3: Cross multiply
    1,117.19x = 1,674.61 × 492.82
  4. Step 4: Simplify right side
    1,117.19x = 825,275.88
  5. Step 5: Solve for x
    x = 825,275.88/1,117.19
  6. Step 6: Final answer
    x = 738.71

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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.