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Finding the Fourth Proportional to 1,364.58, 2,047.16 and 498.88

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Solution

The fourth proportional to 1,364.58, 2,047.16 and 498.88 is: 748.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.58 : 2,047.16 = 498.88 : x
  2. Step 2: Convert to fraction form
    1,364.58/2,047.16 = 498.88/x
  3. Step 3: Cross multiply
    1,364.58x = 2,047.16 × 498.88
  4. Step 4: Simplify right side
    1,364.58x = 1,021,287.18
  5. Step 5: Solve for x
    x = 1,021,287.18/1,364.58
  6. Step 6: Final answer
    x = 748.43

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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.