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Finding the Fourth Proportional to 988.04, 1,364.10 and 656.75

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Solution

The fourth proportional to 988.04, 1,364.10 and 656.75 is: 906.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.04 : 1,364.10 = 656.75 : x
  2. Step 2: Convert to fraction form
    988.04/1,364.10 = 656.75/x
  3. Step 3: Cross multiply
    988.04x = 1,364.10 × 656.75
  4. Step 4: Simplify right side
    988.04x = 895,872.68
  5. Step 5: Solve for x
    x = 895,872.68/988.04
  6. Step 6: Final answer
    x = 906.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.