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Finding the Fourth Proportional to 1,475.73, 2,214 and 598.50

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Solution

The fourth proportional to 1,475.73, 2,214 and 598.50 is: 897.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,475.73 : 2,214 = 598.50 : x
  2. Step 2: Convert to fraction form
    1,475.73/2,214 = 598.50/x
  3. Step 3: Cross multiply
    1,475.73x = 2,214 × 598.50
  4. Step 4: Simplify right side
    1,475.73x = 1,325,079
  5. Step 5: Solve for x
    x = 1,325,079/1,475.73
  6. Step 6: Final answer
    x = 897.91

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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.