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Finding the Fourth Proportional to 902.28, 1,245.14 and 509.38

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Solution

The fourth proportional to 902.28, 1,245.14 and 509.38 is: 702.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.28 : 1,245.14 = 509.38 : x
  2. Step 2: Convert to fraction form
    902.28/1,245.14 = 509.38/x
  3. Step 3: Cross multiply
    902.28x = 1,245.14 × 509.38
  4. Step 4: Simplify right side
    902.28x = 634,249.41
  5. Step 5: Solve for x
    x = 634,249.41/902.28
  6. Step 6: Final answer
    x = 702.94

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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.