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Finding the Fourth Proportional to 902.11, 1,245.00 and 509.06

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Solution

The fourth proportional to 902.11, 1,245.00 and 509.06 is: 702.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.11 : 1,245.00 = 509.06 : x
  2. Step 2: Convert to fraction form
    902.11/1,245.00 = 509.06/x
  3. Step 3: Cross multiply
    902.11x = 1,245.00 × 509.06
  4. Step 4: Simplify right side
    902.11x = 633,775.38
  5. Step 5: Solve for x
    x = 633,775.38/902.11
  6. Step 6: Final answer
    x = 702.55

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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.