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Finding the Fourth Proportional to 876.99, 1,315.87 and 466.03

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Solution

The fourth proportional to 876.99, 1,315.87 and 466.03 is: 699.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.99 : 1,315.87 = 466.03 : x
  2. Step 2: Convert to fraction form
    876.99/1,315.87 = 466.03/x
  3. Step 3: Cross multiply
    876.99x = 1,315.87 × 466.03
  4. Step 4: Simplify right side
    876.99x = 613,234.90
  5. Step 5: Solve for x
    x = 613,234.90/876.99
  6. Step 6: Final answer
    x = 699.25

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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.