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Finding the Fourth Proportional to 1,285.05, 1,773.35 and 725.50

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Solution

The fourth proportional to 1,285.05, 1,773.35 and 725.50 is: 1,001.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.05 : 1,773.35 = 725.50 : x
  2. Step 2: Convert to fraction form
    1,285.05/1,773.35 = 725.50/x
  3. Step 3: Cross multiply
    1,285.05x = 1,773.35 × 725.50
  4. Step 4: Simplify right side
    1,285.05x = 1,286,575.00
  5. Step 5: Solve for x
    x = 1,286,575.00/1,285.05
  6. Step 6: Final answer
    x = 1,001.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.