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Finding the Fourth Proportional to 968.19, 1,336.40 and 657.87

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Solution

The fourth proportional to 968.19, 1,336.40 and 657.87 is: 908.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.19 : 1,336.40 = 657.87 : x
  2. Step 2: Convert to fraction form
    968.19/1,336.40 = 657.87/x
  3. Step 3: Cross multiply
    968.19x = 1,336.40 × 657.87
  4. Step 4: Simplify right side
    968.19x = 879,174.18
  5. Step 5: Solve for x
    x = 879,174.18/968.19
  6. Step 6: Final answer
    x = 908.06

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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.