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Finding the Fourth Proportional to 740.14, 1,021.31 and 425.35

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Solution

The fourth proportional to 740.14, 1,021.31 and 425.35 is: 586.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.14 : 1,021.31 = 425.35 : x
  2. Step 2: Convert to fraction form
    740.14/1,021.31 = 425.35/x
  3. Step 3: Cross multiply
    740.14x = 1,021.31 × 425.35
  4. Step 4: Simplify right side
    740.14x = 434,414.95
  5. Step 5: Solve for x
    x = 434,414.95/740.14
  6. Step 6: Final answer
    x = 586.94

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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.