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Finding the Fourth Proportional to 1,109.90, 1,666.36 and 697.81

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Solution

The fourth proportional to 1,109.90, 1,666.36 and 697.81 is: 1,047.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.90 : 1,666.36 = 697.81 : x
  2. Step 2: Convert to fraction form
    1,109.90/1,666.36 = 697.81/x
  3. Step 3: Cross multiply
    1,109.90x = 1,666.36 × 697.81
  4. Step 4: Simplify right side
    1,109.90x = 1,162,794.34
  5. Step 5: Solve for x
    x = 1,162,794.34/1,109.90
  6. Step 6: Final answer
    x = 1,047.66

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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.