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Finding the Fourth Proportional to 1,364.25, 2,046.16 and 498.57

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Solution

The fourth proportional to 1,364.25, 2,046.16 and 498.57 is: 747.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.25 : 2,046.16 = 498.57 : x
  2. Step 2: Convert to fraction form
    1,364.25/2,046.16 = 498.57/x
  3. Step 3: Cross multiply
    1,364.25x = 2,046.16 × 498.57
  4. Step 4: Simplify right side
    1,364.25x = 1,020,153.99
  5. Step 5: Solve for x
    x = 1,020,153.99/1,364.25
  6. Step 6: Final answer
    x = 747.78

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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.