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Finding the Fourth Proportional to 1,188.81, 1,640.57 and 691.76

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Solution

The fourth proportional to 1,188.81, 1,640.57 and 691.76 is: 954.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.81 : 1,640.57 = 691.76 : x
  2. Step 2: Convert to fraction form
    1,188.81/1,640.57 = 691.76/x
  3. Step 3: Cross multiply
    1,188.81x = 1,640.57 × 691.76
  4. Step 4: Simplify right side
    1,188.81x = 1,134,881.35
  5. Step 5: Solve for x
    x = 1,134,881.35/1,188.81
  6. Step 6: Final answer
    x = 954.64

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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.