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Finding the Fourth Proportional to 764.66, 1,146.54 and 302.06

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Solution

The fourth proportional to 764.66, 1,146.54 and 302.06 is: 452.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.66 : 1,146.54 = 302.06 : x
  2. Step 2: Convert to fraction form
    764.66/1,146.54 = 302.06/x
  3. Step 3: Cross multiply
    764.66x = 1,146.54 × 302.06
  4. Step 4: Simplify right side
    764.66x = 346,323.87
  5. Step 5: Solve for x
    x = 346,323.87/764.66
  6. Step 6: Final answer
    x = 452.91

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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.