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Finding the Fourth Proportional to 1,032.93, 1,548.93 and 513.10

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Solution

The fourth proportional to 1,032.93, 1,548.93 and 513.10 is: 769.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.93 : 1,548.93 = 513.10 : x
  2. Step 2: Convert to fraction form
    1,032.93/1,548.93 = 513.10/x
  3. Step 3: Cross multiply
    1,032.93x = 1,548.93 × 513.10
  4. Step 4: Simplify right side
    1,032.93x = 794,755.98
  5. Step 5: Solve for x
    x = 794,755.98/1,032.93
  6. Step 6: Final answer
    x = 769.42

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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.