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Finding the Fourth Proportional to 874.17, 1,311.51 and 463.01

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Solution

The fourth proportional to 874.17, 1,311.51 and 463.01 is: 694.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.17 : 1,311.51 = 463.01 : x
  2. Step 2: Convert to fraction form
    874.17/1,311.51 = 463.01/x
  3. Step 3: Cross multiply
    874.17x = 1,311.51 × 463.01
  4. Step 4: Simplify right side
    874.17x = 607,235.69
  5. Step 5: Solve for x
    x = 607,235.69/874.17
  6. Step 6: Final answer
    x = 694.64

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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.