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Finding the Fourth Proportional to 1,398.59, 2,097.81 and 473.84

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Solution

The fourth proportional to 1,398.59, 2,097.81 and 473.84 is: 710.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.59 : 2,097.81 = 473.84 : x
  2. Step 2: Convert to fraction form
    1,398.59/2,097.81 = 473.84/x
  3. Step 3: Cross multiply
    1,398.59x = 2,097.81 × 473.84
  4. Step 4: Simplify right side
    1,398.59x = 994,015.80
  5. Step 5: Solve for x
    x = 994,015.80/1,398.59
  6. Step 6: Final answer
    x = 710.73

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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.