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Finding the Fourth Proportional to 1,098.69, 1,648.44 and 514.02

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Solution

The fourth proportional to 1,098.69, 1,648.44 and 514.02 is: 771.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.69 : 1,648.44 = 514.02 : x
  2. Step 2: Convert to fraction form
    1,098.69/1,648.44 = 514.02/x
  3. Step 3: Cross multiply
    1,098.69x = 1,648.44 × 514.02
  4. Step 4: Simplify right side
    1,098.69x = 847,331.13
  5. Step 5: Solve for x
    x = 847,331.13/1,098.69
  6. Step 6: Final answer
    x = 771.22

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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.