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Finding the Fourth Proportional to 740.76, 1,019.66 and 641.12

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Solution

The fourth proportional to 740.76, 1,019.66 and 641.12 is: 882.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.76 : 1,019.66 = 641.12 : x
  2. Step 2: Convert to fraction form
    740.76/1,019.66 = 641.12/x
  3. Step 3: Cross multiply
    740.76x = 1,019.66 × 641.12
  4. Step 4: Simplify right side
    740.76x = 653,724.42
  5. Step 5: Solve for x
    x = 653,724.42/740.76
  6. Step 6: Final answer
    x = 882.51

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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.