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Finding the Fourth Proportional to 716.32, 1,073.84 and 260

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Solution

The fourth proportional to 716.32, 1,073.84 and 260 is: 389.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.32 : 1,073.84 = 260 : x
  2. Step 2: Convert to fraction form
    716.32/1,073.84 = 260/x
  3. Step 3: Cross multiply
    716.32x = 1,073.84 × 260
  4. Step 4: Simplify right side
    716.32x = 279,198.40
  5. Step 5: Solve for x
    x = 279,198.40/716.32
  6. Step 6: Final answer
    x = 389.77

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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.