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Finding the Fourth Proportional to 1,106.91, 1,661.31 and 900.90

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Solution

The fourth proportional to 1,106.91, 1,661.31 and 900.90 is: 1,352.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.91 : 1,661.31 = 900.90 : x
  2. Step 2: Convert to fraction form
    1,106.91/1,661.31 = 900.90/x
  3. Step 3: Cross multiply
    1,106.91x = 1,661.31 × 900.90
  4. Step 4: Simplify right side
    1,106.91x = 1,496,674.18
  5. Step 5: Solve for x
    x = 1,496,674.18/1,106.91
  6. Step 6: Final answer
    x = 1,352.12

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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.