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Finding the Fourth Proportional to 1,223.62, 1,835.22 and 565.30

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Solution

The fourth proportional to 1,223.62, 1,835.22 and 565.30 is: 847.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.62 : 1,835.22 = 565.30 : x
  2. Step 2: Convert to fraction form
    1,223.62/1,835.22 = 565.30/x
  3. Step 3: Cross multiply
    1,223.62x = 1,835.22 × 565.30
  4. Step 4: Simplify right side
    1,223.62x = 1,037,449.87
  5. Step 5: Solve for x
    x = 1,037,449.87/1,223.62
  6. Step 6: Final answer
    x = 847.85

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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.