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Finding the Fourth Proportional to 671.59, 926.04 and 588.66

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Solution

The fourth proportional to 671.59, 926.04 and 588.66 is: 811.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.59 : 926.04 = 588.66 : x
  2. Step 2: Convert to fraction form
    671.59/926.04 = 588.66/x
  3. Step 3: Cross multiply
    671.59x = 926.04 × 588.66
  4. Step 4: Simplify right side
    671.59x = 545,122.71
  5. Step 5: Solve for x
    x = 545,122.71/671.59
  6. Step 6: Final answer
    x = 811.69

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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.