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Finding the Fourth Proportional to 902.53, 1,245.05 and 524.39

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Solution

The fourth proportional to 902.53, 1,245.05 and 524.39 is: 723.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.53 : 1,245.05 = 524.39 : x
  2. Step 2: Convert to fraction form
    902.53/1,245.05 = 524.39/x
  3. Step 3: Cross multiply
    902.53x = 1,245.05 × 524.39
  4. Step 4: Simplify right side
    902.53x = 652,891.77
  5. Step 5: Solve for x
    x = 652,891.77/902.53
  6. Step 6: Final answer
    x = 723.41

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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.