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Finding the Fourth Proportional to 764.51, 1,148.27 and 723.14

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Solution

The fourth proportional to 764.51, 1,148.27 and 723.14 is: 1,086.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.51 : 1,148.27 = 723.14 : x
  2. Step 2: Convert to fraction form
    764.51/1,148.27 = 723.14/x
  3. Step 3: Cross multiply
    764.51x = 1,148.27 × 723.14
  4. Step 4: Simplify right side
    764.51x = 830,359.97
  5. Step 5: Solve for x
    x = 830,359.97/764.51
  6. Step 6: Final answer
    x = 1,086.13

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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.