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Finding the Fourth Proportional to 1,012.80, 1,520.46 and 740.64

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Solution

The fourth proportional to 1,012.80, 1,520.46 and 740.64 is: 1,111.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.80 : 1,520.46 = 740.64 : x
  2. Step 2: Convert to fraction form
    1,012.80/1,520.46 = 740.64/x
  3. Step 3: Cross multiply
    1,012.80x = 1,520.46 × 740.64
  4. Step 4: Simplify right side
    1,012.80x = 1,126,113.49
  5. Step 5: Solve for x
    x = 1,126,113.49/1,012.80
  6. Step 6: Final answer
    x = 1,111.88

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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.