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Finding the Fourth Proportional to 1,115.66, 1,674.07 and 654.34

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Solution

The fourth proportional to 1,115.66, 1,674.07 and 654.34 is: 981.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,115.66 : 1,674.07 = 654.34 : x
  2. Step 2: Convert to fraction form
    1,115.66/1,674.07 = 654.34/x
  3. Step 3: Cross multiply
    1,115.66x = 1,674.07 × 654.34
  4. Step 4: Simplify right side
    1,115.66x = 1,095,405.14
  5. Step 5: Solve for x
    x = 1,095,405.14/1,115.66
  6. Step 6: Final answer
    x = 981.85

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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.