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Finding the Fourth Proportional to 671.16, 926.10 and 587.94

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Solution

The fourth proportional to 671.16, 926.10 and 587.94 is: 811.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.16 : 926.10 = 587.94 : x
  2. Step 2: Convert to fraction form
    671.16/926.10 = 587.94/x
  3. Step 3: Cross multiply
    671.16x = 926.10 × 587.94
  4. Step 4: Simplify right side
    671.16x = 544,491.23
  5. Step 5: Solve for x
    x = 544,491.23/671.16
  6. Step 6: Final answer
    x = 811.27

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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.