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Finding the Fourth Proportional to 1,142.34, 1,576.48 and 722.48

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Solution

The fourth proportional to 1,142.34, 1,576.48 and 722.48 is: 997.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.34 : 1,576.48 = 722.48 : x
  2. Step 2: Convert to fraction form
    1,142.34/1,576.48 = 722.48/x
  3. Step 3: Cross multiply
    1,142.34x = 1,576.48 × 722.48
  4. Step 4: Simplify right side
    1,142.34x = 1,138,975.27
  5. Step 5: Solve for x
    x = 1,138,975.27/1,142.34
  6. Step 6: Final answer
    x = 997.05

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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.