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Finding the Fourth Proportional to 805.70, 1,208.55 and 373.70

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Solution

The fourth proportional to 805.70, 1,208.55 and 373.70 is: 560.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.70 : 1,208.55 = 373.70 : x
  2. Step 2: Convert to fraction form
    805.70/1,208.55 = 373.70/x
  3. Step 3: Cross multiply
    805.70x = 1,208.55 × 373.70
  4. Step 4: Simplify right side
    805.70x = 451,635.14
  5. Step 5: Solve for x
    x = 451,635.14/805.70
  6. Step 6: Final answer
    x = 560.55

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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.