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Finding the Fourth Proportional to 1,223.35, 1,830.43 and 727.95

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Solution

The fourth proportional to 1,223.35, 1,830.43 and 727.95 is: 1,089.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.35 : 1,830.43 = 727.95 : x
  2. Step 2: Convert to fraction form
    1,223.35/1,830.43 = 727.95/x
  3. Step 3: Cross multiply
    1,223.35x = 1,830.43 × 727.95
  4. Step 4: Simplify right side
    1,223.35x = 1,332,461.52
  5. Step 5: Solve for x
    x = 1,332,461.52/1,223.35
  6. Step 6: Final answer
    x = 1,089.19

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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.