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Finding the Fourth Proportional to 678.28, 929.24 and 653.35

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Solution

The fourth proportional to 678.28, 929.24 and 653.35 is: 895.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.28 : 929.24 = 653.35 : x
  2. Step 2: Convert to fraction form
    678.28/929.24 = 653.35/x
  3. Step 3: Cross multiply
    678.28x = 929.24 × 653.35
  4. Step 4: Simplify right side
    678.28x = 607,118.95
  5. Step 5: Solve for x
    x = 607,118.95/678.28
  6. Step 6: Final answer
    x = 895.09

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.