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Finding the Fourth Proportional to 764.46, 1,146.15 and 476.10

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Solution

The fourth proportional to 764.46, 1,146.15 and 476.10 is: 713.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.46 : 1,146.15 = 476.10 : x
  2. Step 2: Convert to fraction form
    764.46/1,146.15 = 476.10/x
  3. Step 3: Cross multiply
    764.46x = 1,146.15 × 476.10
  4. Step 4: Simplify right side
    764.46x = 545,682.02
  5. Step 5: Solve for x
    x = 545,682.02/764.46
  6. Step 6: Final answer
    x = 713.81

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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.