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Finding the Fourth Proportional to 803.54, 1,206.12 and 542.72

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Solution

The fourth proportional to 803.54, 1,206.12 and 542.72 is: 814.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.54 : 1,206.12 = 542.72 : x
  2. Step 2: Convert to fraction form
    803.54/1,206.12 = 542.72/x
  3. Step 3: Cross multiply
    803.54x = 1,206.12 × 542.72
  4. Step 4: Simplify right side
    803.54x = 654,585.45
  5. Step 5: Solve for x
    x = 654,585.45/803.54
  6. Step 6: Final answer
    x = 814.63

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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.