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Finding the Fourth Proportional to 947.06, 1,420.97 and 508.31

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Solution

The fourth proportional to 947.06, 1,420.97 and 508.31 is: 762.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.06 : 1,420.97 = 508.31 : x
  2. Step 2: Convert to fraction form
    947.06/1,420.97 = 508.31/x
  3. Step 3: Cross multiply
    947.06x = 1,420.97 × 508.31
  4. Step 4: Simplify right side
    947.06x = 722,283.61
  5. Step 5: Solve for x
    x = 722,283.61/947.06
  6. Step 6: Final answer
    x = 762.66

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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.