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Finding the Fourth Proportional to 671.40, 926.02 and 583.72

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Solution

The fourth proportional to 671.40, 926.02 and 583.72 is: 805.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.40 : 926.02 = 583.72 : x
  2. Step 2: Convert to fraction form
    671.40/926.02 = 583.72/x
  3. Step 3: Cross multiply
    671.40x = 926.02 × 583.72
  4. Step 4: Simplify right side
    671.40x = 540,536.39
  5. Step 5: Solve for x
    x = 540,536.39/671.40
  6. Step 6: Final answer
    x = 805.09

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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.