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Finding the Fourth Proportional to 1,098.90, 1,647.93 and 513.80

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Solution

The fourth proportional to 1,098.90, 1,647.93 and 513.80 is: 770.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.90 : 1,647.93 = 513.80 : x
  2. Step 2: Convert to fraction form
    1,098.90/1,647.93 = 513.80/x
  3. Step 3: Cross multiply
    1,098.90x = 1,647.93 × 513.80
  4. Step 4: Simplify right side
    1,098.90x = 846,698.19
  5. Step 5: Solve for x
    x = 846,698.19/1,098.90
  6. Step 6: Final answer
    x = 770.50

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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.