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Finding the Fourth Proportional to 1,399, 2,097.66 and 474.40

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Solution

The fourth proportional to 1,399, 2,097.66 and 474.40 is: 711.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,399 : 2,097.66 = 474.40 : x
  2. Step 2: Convert to fraction form
    1,399/2,097.66 = 474.40/x
  3. Step 3: Cross multiply
    1,399x = 2,097.66 × 474.40
  4. Step 4: Simplify right side
    1,399x = 995,129.90
  5. Step 5: Solve for x
    x = 995,129.90/1,399
  6. Step 6: Final answer
    x = 711.32

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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.