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Finding the Fourth Proportional to 1,210.92, 1,816.38 and 634.92

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Solution

The fourth proportional to 1,210.92, 1,816.38 and 634.92 is: 952.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.92 : 1,816.38 = 634.92 : x
  2. Step 2: Convert to fraction form
    1,210.92/1,816.38 = 634.92/x
  3. Step 3: Cross multiply
    1,210.92x = 1,816.38 × 634.92
  4. Step 4: Simplify right side
    1,210.92x = 1,153,255.99
  5. Step 5: Solve for x
    x = 1,153,255.99/1,210.92
  6. Step 6: Final answer
    x = 952.38

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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.