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Finding the Fourth Proportional to 1,220.69, 1,829.96 and 634.46

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Solution

The fourth proportional to 1,220.69, 1,829.96 and 634.46 is: 951.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.69 : 1,829.96 = 634.46 : x
  2. Step 2: Convert to fraction form
    1,220.69/1,829.96 = 634.46/x
  3. Step 3: Cross multiply
    1,220.69x = 1,829.96 × 634.46
  4. Step 4: Simplify right side
    1,220.69x = 1,161,024.10
  5. Step 5: Solve for x
    x = 1,161,024.10/1,220.69
  6. Step 6: Final answer
    x = 951.13

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1.5x scale

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.