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Finding the Fourth Proportional to 1,375.14, 2,062.50 and 497.58

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Solution

The fourth proportional to 1,375.14, 2,062.50 and 497.58 is: 746.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,375.14 : 2,062.50 = 497.58 : x
  2. Step 2: Convert to fraction form
    1,375.14/2,062.50 = 497.58/x
  3. Step 3: Cross multiply
    1,375.14x = 2,062.50 × 497.58
  4. Step 4: Simplify right side
    1,375.14x = 1,026,258.75
  5. Step 5: Solve for x
    x = 1,026,258.75/1,375.14
  6. Step 6: Final answer
    x = 746.29

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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.