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Finding the Fourth Proportional to 1,011.42, 1,517.22 and 740.88

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Solution

The fourth proportional to 1,011.42, 1,517.22 and 740.88 is: 1,111.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.42 : 1,517.22 = 740.88 : x
  2. Step 2: Convert to fraction form
    1,011.42/1,517.22 = 740.88/x
  3. Step 3: Cross multiply
    1,011.42x = 1,517.22 × 740.88
  4. Step 4: Simplify right side
    1,011.42x = 1,124,077.95
  5. Step 5: Solve for x
    x = 1,124,077.95/1,011.42
  6. Step 6: Final answer
    x = 1,111.39

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1.5x scale

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.