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Finding the Fourth Proportional to 764.35, 1,146.52 and 277.40

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Solution

The fourth proportional to 764.35, 1,146.52 and 277.40 is: 416.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.35 : 1,146.52 = 277.40 : x
  2. Step 2: Convert to fraction form
    764.35/1,146.52 = 277.40/x
  3. Step 3: Cross multiply
    764.35x = 1,146.52 × 277.40
  4. Step 4: Simplify right side
    764.35x = 318,038.22
  5. Step 5: Solve for x
    x = 318,038.22/764.35
  6. Step 6: Final answer
    x = 416.09

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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.