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Finding the Fourth Proportional to 1,487.64, 2,230.56 and 513.48

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Solution

The fourth proportional to 1,487.64, 2,230.56 and 513.48 is: 769.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,487.64 : 2,230.56 = 513.48 : x
  2. Step 2: Convert to fraction form
    1,487.64/2,230.56 = 513.48/x
  3. Step 3: Cross multiply
    1,487.64x = 2,230.56 × 513.48
  4. Step 4: Simplify right side
    1,487.64x = 1,145,347.95
  5. Step 5: Solve for x
    x = 1,145,347.95/1,487.64
  6. Step 6: Final answer
    x = 769.91

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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.