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Finding the Fourth Proportional to 873.78, 1,311.06 and 463.26

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Solution

The fourth proportional to 873.78, 1,311.06 and 463.26 is: 695.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.78 : 1,311.06 = 463.26 : x
  2. Step 2: Convert to fraction form
    873.78/1,311.06 = 463.26/x
  3. Step 3: Cross multiply
    873.78x = 1,311.06 × 463.26
  4. Step 4: Simplify right side
    873.78x = 607,361.66
  5. Step 5: Solve for x
    x = 607,361.66/873.78
  6. Step 6: Final answer
    x = 695.10

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Why These Related Problems?

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