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Finding the Fourth Proportional to 764.51, 1,148.04 and 458.27

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Solution

The fourth proportional to 764.51, 1,148.04 and 458.27 is: 688.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.51 : 1,148.04 = 458.27 : x
  2. Step 2: Convert to fraction form
    764.51/1,148.04 = 458.27/x
  3. Step 3: Cross multiply
    764.51x = 1,148.04 × 458.27
  4. Step 4: Simplify right side
    764.51x = 526,112.29
  5. Step 5: Solve for x
    x = 526,112.29/764.51
  6. Step 6: Final answer
    x = 688.17

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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.