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Finding the Fourth Proportional to 876.85, 1,316.07 and 466.33

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Solution

The fourth proportional to 876.85, 1,316.07 and 466.33 is: 699.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.85 : 1,316.07 = 466.33 : x
  2. Step 2: Convert to fraction form
    876.85/1,316.07 = 466.33/x
  3. Step 3: Cross multiply
    876.85x = 1,316.07 × 466.33
  4. Step 4: Simplify right side
    876.85x = 613,727.11
  5. Step 5: Solve for x
    x = 613,727.11/876.85
  6. Step 6: Final answer
    x = 699.92

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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.