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Finding the Fourth Proportional to 1,398.79, 2,098.32 and 576.91

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Solution

The fourth proportional to 1,398.79, 2,098.32 and 576.91 is: 865.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.79 : 2,098.32 = 576.91 : x
  2. Step 2: Convert to fraction form
    1,398.79/2,098.32 = 576.91/x
  3. Step 3: Cross multiply
    1,398.79x = 2,098.32 × 576.91
  4. Step 4: Simplify right side
    1,398.79x = 1,210,541.79
  5. Step 5: Solve for x
    x = 1,210,541.79/1,398.79
  6. Step 6: Final answer
    x = 865.42

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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.