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Finding the Fourth Proportional to 829.66, 1,144.55 and 535.03

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Solution

The fourth proportional to 829.66, 1,144.55 and 535.03 is: 738.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.66 : 1,144.55 = 535.03 : x
  2. Step 2: Convert to fraction form
    829.66/1,144.55 = 535.03/x
  3. Step 3: Cross multiply
    829.66x = 1,144.55 × 535.03
  4. Step 4: Simplify right side
    829.66x = 612,363.91
  5. Step 5: Solve for x
    x = 612,363.91/829.66
  6. Step 6: Final answer
    x = 738.09

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.