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Finding the Fourth Proportional to 740.44, 1,021.81 and 425.72

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Solution

The fourth proportional to 740.44, 1,021.81 and 425.72 is: 587.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.44 : 1,021.81 = 425.72 : x
  2. Step 2: Convert to fraction form
    740.44/1,021.81 = 425.72/x
  3. Step 3: Cross multiply
    740.44x = 1,021.81 × 425.72
  4. Step 4: Simplify right side
    740.44x = 435,004.95
  5. Step 5: Solve for x
    x = 435,004.95/740.44
  6. Step 6: Final answer
    x = 587.50

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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.