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Finding the Fourth Proportional to 979.98, 1,352.44 and 647.83

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Solution

The fourth proportional to 979.98, 1,352.44 and 647.83 is: 894.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.98 : 1,352.44 = 647.83 : x
  2. Step 2: Convert to fraction form
    979.98/1,352.44 = 647.83/x
  3. Step 3: Cross multiply
    979.98x = 1,352.44 × 647.83
  4. Step 4: Simplify right side
    979.98x = 876,151.21
  5. Step 5: Solve for x
    x = 876,151.21/979.98
  6. Step 6: Final answer
    x = 894.05

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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.