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Finding the Fourth Proportional to 1,364, 2,046.82 and 498.40

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Solution

The fourth proportional to 1,364, 2,046.82 and 498.40 is: 747.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364 : 2,046.82 = 498.40 : x
  2. Step 2: Convert to fraction form
    1,364/2,046.82 = 498.40/x
  3. Step 3: Cross multiply
    1,364x = 2,046.82 × 498.40
  4. Step 4: Simplify right side
    1,364x = 1,020,135.09
  5. Step 5: Solve for x
    x = 1,020,135.09/1,364
  6. Step 6: Final answer
    x = 747.90

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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.