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Finding the Fourth Proportional to 902.17, 1,245.89 and 623.13

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Solution

The fourth proportional to 902.17, 1,245.89 and 623.13 is: 860.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.17 : 1,245.89 = 623.13 : x
  2. Step 2: Convert to fraction form
    902.17/1,245.89 = 623.13/x
  3. Step 3: Cross multiply
    902.17x = 1,245.89 × 623.13
  4. Step 4: Simplify right side
    902.17x = 776,342.09
  5. Step 5: Solve for x
    x = 776,342.09/902.17
  6. Step 6: Final answer
    x = 860.53

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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.