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Finding the Fourth Proportional to 929.84, 1,284.04 and 696.56

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Solution

The fourth proportional to 929.84, 1,284.04 and 696.56 is: 961.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.84 : 1,284.04 = 696.56 : x
  2. Step 2: Convert to fraction form
    929.84/1,284.04 = 696.56/x
  3. Step 3: Cross multiply
    929.84x = 1,284.04 × 696.56
  4. Step 4: Simplify right side
    929.84x = 894,410.90
  5. Step 5: Solve for x
    x = 894,410.90/929.84
  6. Step 6: Final answer
    x = 961.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.