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Finding the Fourth Proportional to 1,220.29, 1,830.71 and 354.60

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Solution

The fourth proportional to 1,220.29, 1,830.71 and 354.60 is: 531.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.29 : 1,830.71 = 354.60 : x
  2. Step 2: Convert to fraction form
    1,220.29/1,830.71 = 354.60/x
  3. Step 3: Cross multiply
    1,220.29x = 1,830.71 × 354.60
  4. Step 4: Simplify right side
    1,220.29x = 649,170.65
  5. Step 5: Solve for x
    x = 649,170.65/1,220.29
  6. Step 6: Final answer
    x = 531.98

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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.