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Finding the Fourth Proportional to 1,697.64, 2,545.01 and 772.87

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Solution

The fourth proportional to 1,697.64, 2,545.01 and 772.87 is: 1,158.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,697.64 : 2,545.01 = 772.87 : x
  2. Step 2: Convert to fraction form
    1,697.64/2,545.01 = 772.87/x
  3. Step 3: Cross multiply
    1,697.64x = 2,545.01 × 772.87
  4. Step 4: Simplify right side
    1,697.64x = 1,966,961.88
  5. Step 5: Solve for x
    x = 1,966,961.88/1,697.64
  6. Step 6: Final answer
    x = 1,158.65

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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.