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Finding the Fourth Proportional to 1,364.36, 2,047.42 and 498.60

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Solution

The fourth proportional to 1,364.36, 2,047.42 and 498.60 is: 748.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.36 : 2,047.42 = 498.60 : x
  2. Step 2: Convert to fraction form
    1,364.36/2,047.42 = 498.60/x
  3. Step 3: Cross multiply
    1,364.36x = 2,047.42 × 498.60
  4. Step 4: Simplify right side
    1,364.36x = 1,020,843.61
  5. Step 5: Solve for x
    x = 1,020,843.61/1,364.36
  6. Step 6: Final answer
    x = 748.22

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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.