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Finding the Fourth Proportional to 978.46, 1,350.01 and 629.35

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Solution

The fourth proportional to 978.46, 1,350.01 and 629.35 is: 868.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.46 : 1,350.01 = 629.35 : x
  2. Step 2: Convert to fraction form
    978.46/1,350.01 = 629.35/x
  3. Step 3: Cross multiply
    978.46x = 1,350.01 × 629.35
  4. Step 4: Simplify right side
    978.46x = 849,628.79
  5. Step 5: Solve for x
    x = 849,628.79/978.46
  6. Step 6: Final answer
    x = 868.33

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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.