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Finding the Fourth Proportional to 668.04, 997.65 and 559

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Solution

The fourth proportional to 668.04, 997.65 and 559 is: 834.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.04 : 997.65 = 559 : x
  2. Step 2: Convert to fraction form
    668.04/997.65 = 559/x
  3. Step 3: Cross multiply
    668.04x = 997.65 × 559
  4. Step 4: Simplify right side
    668.04x = 557,686.35
  5. Step 5: Solve for x
    x = 557,686.35/668.04
  6. Step 6: Final answer
    x = 834.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.