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Finding the Fourth Proportional to 694.95, 1,041.07 and 547.92

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Solution

The fourth proportional to 694.95, 1,041.07 and 547.92 is: 820.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.95 : 1,041.07 = 547.92 : x
  2. Step 2: Convert to fraction form
    694.95/1,041.07 = 547.92/x
  3. Step 3: Cross multiply
    694.95x = 1,041.07 × 547.92
  4. Step 4: Simplify right side
    694.95x = 570,423.07
  5. Step 5: Solve for x
    x = 570,423.07/694.95
  6. Step 6: Final answer
    x = 820.81

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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.