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Finding the Fourth Proportional to 1,220.07, 1,829.91 and 354.18

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Solution

The fourth proportional to 1,220.07, 1,829.91 and 354.18 is: 531.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.07 : 1,829.91 = 354.18 : x
  2. Step 2: Convert to fraction form
    1,220.07/1,829.91 = 354.18/x
  3. Step 3: Cross multiply
    1,220.07x = 1,829.91 × 354.18
  4. Step 4: Simplify right side
    1,220.07x = 648,117.52
  5. Step 5: Solve for x
    x = 648,117.52/1,220.07
  6. Step 6: Final answer
    x = 531.21

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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.