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Finding the Fourth Proportional to 707.52, 980.98 and 684.74

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Solution

The fourth proportional to 707.52, 980.98 and 684.74 is: 949.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.52 : 980.98 = 684.74 : x
  2. Step 2: Convert to fraction form
    707.52/980.98 = 684.74/x
  3. Step 3: Cross multiply
    707.52x = 980.98 × 684.74
  4. Step 4: Simplify right side
    707.52x = 671,716.25
  5. Step 5: Solve for x
    x = 671,716.25/707.52
  6. Step 6: Final answer
    x = 949.40

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.