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Finding the Fourth Proportional to 766.58, 1,055.14 and 640.82

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Solution

The fourth proportional to 766.58, 1,055.14 and 640.82 is: 882.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.58 : 1,055.14 = 640.82 : x
  2. Step 2: Convert to fraction form
    766.58/1,055.14 = 640.82/x
  3. Step 3: Cross multiply
    766.58x = 1,055.14 × 640.82
  4. Step 4: Simplify right side
    766.58x = 676,154.81
  5. Step 5: Solve for x
    x = 676,154.81/766.58
  6. Step 6: Final answer
    x = 882.04

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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.