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Finding the Fourth Proportional to 718.75, 1,077.85 and 256.41

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Solution

The fourth proportional to 718.75, 1,077.85 and 256.41 is: 384.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.75 : 1,077.85 = 256.41 : x
  2. Step 2: Convert to fraction form
    718.75/1,077.85 = 256.41/x
  3. Step 3: Cross multiply
    718.75x = 1,077.85 × 256.41
  4. Step 4: Simplify right side
    718.75x = 276,371.84
  5. Step 5: Solve for x
    x = 276,371.84/718.75
  6. Step 6: Final answer
    x = 384.52

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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.