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Finding the Fourth Proportional to 1,107.70, 1,663.35 and 801.70

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Solution

The fourth proportional to 1,107.70, 1,663.35 and 801.70 is: 1,203.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.70 : 1,663.35 = 801.70 : x
  2. Step 2: Convert to fraction form
    1,107.70/1,663.35 = 801.70/x
  3. Step 3: Cross multiply
    1,107.70x = 1,663.35 × 801.70
  4. Step 4: Simplify right side
    1,107.70x = 1,333,507.70
  5. Step 5: Solve for x
    x = 1,333,507.70/1,107.70
  6. Step 6: Final answer
    x = 1,203.85

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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.