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Finding the Fourth Proportional to 1,697.77, 2,545.20 and 773.00

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Solution

The fourth proportional to 1,697.77, 2,545.20 and 773.00 is: 1,158.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,697.77 : 2,545.20 = 773.00 : x
  2. Step 2: Convert to fraction form
    1,697.77/2,545.20 = 773.00/x
  3. Step 3: Cross multiply
    1,697.77x = 2,545.20 × 773.00
  4. Step 4: Simplify right side
    1,697.77x = 1,967,426.87
  5. Step 5: Solve for x
    x = 1,967,426.87/1,697.77
  6. Step 6: Final answer
    x = 1,158.83

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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.