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Finding the Fourth Proportional to 1,114.32, 1,670.97 and 498.03

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Solution

The fourth proportional to 1,114.32, 1,670.97 and 498.03 is: 746.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.32 : 1,670.97 = 498.03 : x
  2. Step 2: Convert to fraction form
    1,114.32/1,670.97 = 498.03/x
  3. Step 3: Cross multiply
    1,114.32x = 1,670.97 × 498.03
  4. Step 4: Simplify right side
    1,114.32x = 832,195.39
  5. Step 5: Solve for x
    x = 832,195.39/1,114.32
  6. Step 6: Final answer
    x = 746.82

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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.