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Finding the Fourth Proportional to 876.81, 1,314.94 and 291.68

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Solution

The fourth proportional to 876.81, 1,314.94 and 291.68 is: 437.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.81 : 1,314.94 = 291.68 : x
  2. Step 2: Convert to fraction form
    876.81/1,314.94 = 291.68/x
  3. Step 3: Cross multiply
    876.81x = 1,314.94 × 291.68
  4. Step 4: Simplify right side
    876.81x = 383,544.26
  5. Step 5: Solve for x
    x = 383,544.26/876.81
  6. Step 6: Final answer
    x = 437.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.