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Finding the Fourth Proportional to 1,109.02, 1,663.95 and 697.70

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Solution

The fourth proportional to 1,109.02, 1,663.95 and 697.70 is: 1,046.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.02 : 1,663.95 = 697.70 : x
  2. Step 2: Convert to fraction form
    1,109.02/1,663.95 = 697.70/x
  3. Step 3: Cross multiply
    1,109.02x = 1,663.95 × 697.70
  4. Step 4: Simplify right side
    1,109.02x = 1,160,937.92
  5. Step 5: Solve for x
    x = 1,160,937.92/1,109.02
  6. Step 6: Final answer
    x = 1,046.81

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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.