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Finding the Fourth Proportional to 838.66, 1,258.08 and 473.26

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Solution

The fourth proportional to 838.66, 1,258.08 and 473.26 is: 709.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.66 : 1,258.08 = 473.26 : x
  2. Step 2: Convert to fraction form
    838.66/1,258.08 = 473.26/x
  3. Step 3: Cross multiply
    838.66x = 1,258.08 × 473.26
  4. Step 4: Simplify right side
    838.66x = 595,398.94
  5. Step 5: Solve for x
    x = 595,398.94/838.66
  6. Step 6: Final answer
    x = 709.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.