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Finding the Fourth Proportional to 873.10, 1,205.46 and 542.02

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Solution

The fourth proportional to 873.10, 1,205.46 and 542.02 is: 748.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.10 : 1,205.46 = 542.02 : x
  2. Step 2: Convert to fraction form
    873.10/1,205.46 = 542.02/x
  3. Step 3: Cross multiply
    873.10x = 1,205.46 × 542.02
  4. Step 4: Simplify right side
    873.10x = 653,383.43
  5. Step 5: Solve for x
    x = 653,383.43/873.10
  6. Step 6: Final answer
    x = 748.35

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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.