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Finding the Fourth Proportional to 1,398.96, 2,098.67 and 474.62

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Solution

The fourth proportional to 1,398.96, 2,098.67 and 474.62 is: 712.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.96 : 2,098.67 = 474.62 : x
  2. Step 2: Convert to fraction form
    1,398.96/2,098.67 = 474.62/x
  3. Step 3: Cross multiply
    1,398.96x = 2,098.67 × 474.62
  4. Step 4: Simplify right side
    1,398.96x = 996,070.76
  5. Step 5: Solve for x
    x = 996,070.76/1,398.96
  6. Step 6: Final answer
    x = 712.01

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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.