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Finding the Fourth Proportional to 718.82, 1,078 and 256.53

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Solution

The fourth proportional to 718.82, 1,078 and 256.53 is: 384.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.82 : 1,078 = 256.53 : x
  2. Step 2: Convert to fraction form
    718.82/1,078 = 256.53/x
  3. Step 3: Cross multiply
    718.82x = 1,078 × 256.53
  4. Step 4: Simplify right side
    718.82x = 276,539.34
  5. Step 5: Solve for x
    x = 276,539.34/718.82
  6. Step 6: Final answer
    x = 384.72

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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.