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Finding the Fourth Proportional to 1,398.84, 2,097.99 and 474.32

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Solution

The fourth proportional to 1,398.84, 2,097.99 and 474.32 is: 711.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.84 : 2,097.99 = 474.32 : x
  2. Step 2: Convert to fraction form
    1,398.84/2,097.99 = 474.32/x
  3. Step 3: Cross multiply
    1,398.84x = 2,097.99 × 474.32
  4. Step 4: Simplify right side
    1,398.84x = 995,108.13
  5. Step 5: Solve for x
    x = 995,108.13/1,398.84
  6. Step 6: Final answer
    x = 711.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.