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Finding the Fourth Proportional to 873.92, 1,205.96 and 542.37

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Solution

The fourth proportional to 873.92, 1,205.96 and 542.37 is: 748.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.92 : 1,205.96 = 542.37 : x
  2. Step 2: Convert to fraction form
    873.92/1,205.96 = 542.37/x
  3. Step 3: Cross multiply
    873.92x = 1,205.96 × 542.37
  4. Step 4: Simplify right side
    873.92x = 654,073.81
  5. Step 5: Solve for x
    x = 654,073.81/873.92
  6. Step 6: Final answer
    x = 748.44

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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.