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Finding the Fourth Proportional to 1,098.50, 1,648.79 and 513.93

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Solution

The fourth proportional to 1,098.50, 1,648.79 and 513.93 is: 771.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.50 : 1,648.79 = 513.93 : x
  2. Step 2: Convert to fraction form
    1,098.50/1,648.79 = 513.93/x
  3. Step 3: Cross multiply
    1,098.50x = 1,648.79 × 513.93
  4. Step 4: Simplify right side
    1,098.50x = 847,360.08
  5. Step 5: Solve for x
    x = 847,360.08/1,098.50
  6. Step 6: Final answer
    x = 771.38

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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.