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Finding the Fourth Proportional to 988.19, 1,364.04 and 656.70

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Solution

The fourth proportional to 988.19, 1,364.04 and 656.70 is: 906.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.19 : 1,364.04 = 656.70 : x
  2. Step 2: Convert to fraction form
    988.19/1,364.04 = 656.70/x
  3. Step 3: Cross multiply
    988.19x = 1,364.04 × 656.70
  4. Step 4: Simplify right side
    988.19x = 895,759.95
  5. Step 5: Solve for x
    x = 895,759.95/988.19
  6. Step 6: Final answer
    x = 906.47

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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.