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Finding the Fourth Proportional to 1,185.90, 1,778.00 and 560.85

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Solution

The fourth proportional to 1,185.90, 1,778.00 and 560.85 is: 840.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185.90 : 1,778.00 = 560.85 : x
  2. Step 2: Convert to fraction form
    1,185.90/1,778.00 = 560.85/x
  3. Step 3: Cross multiply
    1,185.90x = 1,778.00 × 560.85
  4. Step 4: Simplify right side
    1,185.90x = 997,188.50
  5. Step 5: Solve for x
    x = 997,188.50/1,185.90
  6. Step 6: Final answer
    x = 840.87

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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.