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Finding the Fourth Proportional to 1,223.84, 1,834.25 and 565.31

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Solution

The fourth proportional to 1,223.84, 1,834.25 and 565.31 is: 847.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.84 : 1,834.25 = 565.31 : x
  2. Step 2: Convert to fraction form
    1,223.84/1,834.25 = 565.31/x
  3. Step 3: Cross multiply
    1,223.84x = 1,834.25 × 565.31
  4. Step 4: Simplify right side
    1,223.84x = 1,036,921.63
  5. Step 5: Solve for x
    x = 1,036,921.63/1,223.84
  6. Step 6: Final answer
    x = 847.27

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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.