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Finding the Fourth Proportional to 711.58, 979.56 and 617.02

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Solution

The fourth proportional to 711.58, 979.56 and 617.02 is: 849.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.58 : 979.56 = 617.02 : x
  2. Step 2: Convert to fraction form
    711.58/979.56 = 617.02/x
  3. Step 3: Cross multiply
    711.58x = 979.56 × 617.02
  4. Step 4: Simplify right side
    711.58x = 604,408.11
  5. Step 5: Solve for x
    x = 604,408.11/711.58
  6. Step 6: Final answer
    x = 849.39

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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.