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Finding the Fourth Proportional to 902.24, 1,245.43 and 571.15

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Solution

The fourth proportional to 902.24, 1,245.43 and 571.15 is: 788.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.24 : 1,245.43 = 571.15 : x
  2. Step 2: Convert to fraction form
    902.24/1,245.43 = 571.15/x
  3. Step 3: Cross multiply
    902.24x = 1,245.43 × 571.15
  4. Step 4: Simplify right side
    902.24x = 711,327.34
  5. Step 5: Solve for x
    x = 711,327.34/902.24
  6. Step 6: Final answer
    x = 788.40

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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.