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Finding the Fourth Proportional to 1,142.94, 1,576.19 and 722.55

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Solution

The fourth proportional to 1,142.94, 1,576.19 and 722.55 is: 996.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.94 : 1,576.19 = 722.55 : x
  2. Step 2: Convert to fraction form
    1,142.94/1,576.19 = 722.55/x
  3. Step 3: Cross multiply
    1,142.94x = 1,576.19 × 722.55
  4. Step 4: Simplify right side
    1,142.94x = 1,138,883.80
  5. Step 5: Solve for x
    x = 1,138,883.80/1,142.94
  6. Step 6: Final answer
    x = 996.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.