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Finding the Fourth Proportional to 1,229.04, 1,841.88 and 817.08

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Solution

The fourth proportional to 1,229.04, 1,841.88 and 817.08 is: 1,224.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229.04 : 1,841.88 = 817.08 : x
  2. Step 2: Convert to fraction form
    1,229.04/1,841.88 = 817.08/x
  3. Step 3: Cross multiply
    1,229.04x = 1,841.88 × 817.08
  4. Step 4: Simplify right side
    1,229.04x = 1,504,963.31
  5. Step 5: Solve for x
    x = 1,504,963.31/1,229.04
  6. Step 6: Final answer
    x = 1,224.50

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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.