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Finding the Fourth Proportional to 740.69, 1,020.06 and 674.98

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Solution

The fourth proportional to 740.69, 1,020.06 and 674.98 is: 929.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.69 : 1,020.06 = 674.98 : x
  2. Step 2: Convert to fraction form
    740.69/1,020.06 = 674.98/x
  3. Step 3: Cross multiply
    740.69x = 1,020.06 × 674.98
  4. Step 4: Simplify right side
    740.69x = 688,523.29
  5. Step 5: Solve for x
    x = 688,523.29/740.69
  6. Step 6: Final answer
    x = 929.56

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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.