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Finding the Fourth Proportional to 1,801.59, 2,703.33 and 706.28

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Solution

The fourth proportional to 1,801.59, 2,703.33 and 706.28 is: 1,059.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,801.59 : 2,703.33 = 706.28 : x
  2. Step 2: Convert to fraction form
    1,801.59/2,703.33 = 706.28/x
  3. Step 3: Cross multiply
    1,801.59x = 2,703.33 × 706.28
  4. Step 4: Simplify right side
    1,801.59x = 1,909,294.40
  5. Step 5: Solve for x
    x = 1,909,294.40/1,801.59
  6. Step 6: Final answer
    x = 1,059.78

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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.