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Finding the Fourth Proportional to 1,364.52, 2,046.98 and 498.62

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Solution

The fourth proportional to 1,364.52, 2,046.98 and 498.62 is: 748.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.52 : 2,046.98 = 498.62 : x
  2. Step 2: Convert to fraction form
    1,364.52/2,046.98 = 498.62/x
  3. Step 3: Cross multiply
    1,364.52x = 2,046.98 × 498.62
  4. Step 4: Simplify right side
    1,364.52x = 1,020,665.17
  5. Step 5: Solve for x
    x = 1,020,665.17/1,364.52
  6. Step 6: Final answer
    x = 748.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.