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Finding the Fourth Proportional to 1,398.43, 2,097.63 and 576.46

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Solution

The fourth proportional to 1,398.43, 2,097.63 and 576.46 is: 864.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.43 : 2,097.63 = 576.46 : x
  2. Step 2: Convert to fraction form
    1,398.43/2,097.63 = 576.46/x
  3. Step 3: Cross multiply
    1,398.43x = 2,097.63 × 576.46
  4. Step 4: Simplify right side
    1,398.43x = 1,209,199.79
  5. Step 5: Solve for x
    x = 1,209,199.79/1,398.43
  6. Step 6: Final answer
    x = 864.68

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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.