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Finding the Fourth Proportional to 737.23, 1,017.48 and 442.66

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Solution

The fourth proportional to 737.23, 1,017.48 and 442.66 is: 610.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.23 : 1,017.48 = 442.66 : x
  2. Step 2: Convert to fraction form
    737.23/1,017.48 = 442.66/x
  3. Step 3: Cross multiply
    737.23x = 1,017.48 × 442.66
  4. Step 4: Simplify right side
    737.23x = 450,393.72
  5. Step 5: Solve for x
    x = 450,393.72/737.23
  6. Step 6: Final answer
    x = 610.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.