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Finding the Fourth Proportional to 902.25, 1,245.15 and 529.35

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Solution

The fourth proportional to 902.25, 1,245.15 and 529.35 is: 730.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.25 : 1,245.15 = 529.35 : x
  2. Step 2: Convert to fraction form
    902.25/1,245.15 = 529.35/x
  3. Step 3: Cross multiply
    902.25x = 1,245.15 × 529.35
  4. Step 4: Simplify right side
    902.25x = 659,120.15
  5. Step 5: Solve for x
    x = 659,120.15/902.25
  6. Step 6: Final answer
    x = 730.53

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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.