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Finding the Fourth Proportional to 1,116.14, 1,674.21 and 657.12

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Solution

The fourth proportional to 1,116.14, 1,674.21 and 657.12 is: 985.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.14 : 1,674.21 = 657.12 : x
  2. Step 2: Convert to fraction form
    1,116.14/1,674.21 = 657.12/x
  3. Step 3: Cross multiply
    1,116.14x = 1,674.21 × 657.12
  4. Step 4: Simplify right side
    1,116.14x = 1,100,156.88
  5. Step 5: Solve for x
    x = 1,100,156.88/1,116.14
  6. Step 6: Final answer
    x = 985.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.