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Finding the Fourth Proportional to 874.56, 1,310.66 and 464.00

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Solution

The fourth proportional to 874.56, 1,310.66 and 464.00 is: 695.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.56 : 1,310.66 = 464.00 : x
  2. Step 2: Convert to fraction form
    874.56/1,310.66 = 464.00/x
  3. Step 3: Cross multiply
    874.56x = 1,310.66 × 464.00
  4. Step 4: Simplify right side
    874.56x = 608,141.72
  5. Step 5: Solve for x
    x = 608,141.72/874.56
  6. Step 6: Final answer
    x = 695.37

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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.