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Finding the Fourth Proportional to 930.26, 1,396.20 and 497.72

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Solution

The fourth proportional to 930.26, 1,396.20 and 497.72 is: 747.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.26 : 1,396.20 = 497.72 : x
  2. Step 2: Convert to fraction form
    930.26/1,396.20 = 497.72/x
  3. Step 3: Cross multiply
    930.26x = 1,396.20 × 497.72
  4. Step 4: Simplify right side
    930.26x = 694,916.66
  5. Step 5: Solve for x
    x = 694,916.66/930.26
  6. Step 6: Final answer
    x = 747.01

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