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Finding the Fourth Proportional to 951.64, 1,426.08 and 464.14

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Solution

The fourth proportional to 951.64, 1,426.08 and 464.14 is: 695.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.64 : 1,426.08 = 464.14 : x
  2. Step 2: Convert to fraction form
    951.64/1,426.08 = 464.14/x
  3. Step 3: Cross multiply
    951.64x = 1,426.08 × 464.14
  4. Step 4: Simplify right side
    951.64x = 661,900.77
  5. Step 5: Solve for x
    x = 661,900.77/951.64
  6. Step 6: Final answer
    x = 695.54

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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.