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Finding the Fourth Proportional to 803.80, 1,206.51 and 542.98

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Solution

The fourth proportional to 803.80, 1,206.51 and 542.98 is: 815.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.80 : 1,206.51 = 542.98 : x
  2. Step 2: Convert to fraction form
    803.80/1,206.51 = 542.98/x
  3. Step 3: Cross multiply
    803.80x = 1,206.51 × 542.98
  4. Step 4: Simplify right side
    803.80x = 655,110.80
  5. Step 5: Solve for x
    x = 655,110.80/803.80
  6. Step 6: Final answer
    x = 815.02

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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.