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Finding the Fourth Proportional to 1,398.85, 2,098.53 and 576.66

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Solution

The fourth proportional to 1,398.85, 2,098.53 and 576.66 is: 865.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.85 : 2,098.53 = 576.66 : x
  2. Step 2: Convert to fraction form
    1,398.85/2,098.53 = 576.66/x
  3. Step 3: Cross multiply
    1,398.85x = 2,098.53 × 576.66
  4. Step 4: Simplify right side
    1,398.85x = 1,210,146.18
  5. Step 5: Solve for x
    x = 1,210,146.18/1,398.85
  6. Step 6: Final answer
    x = 865.10

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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.