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Finding the Fourth Proportional to 1,105.95, 1,656.15 and 693.77

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Solution

The fourth proportional to 1,105.95, 1,656.15 and 693.77 is: 1,038.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.95 : 1,656.15 = 693.77 : x
  2. Step 2: Convert to fraction form
    1,105.95/1,656.15 = 693.77/x
  3. Step 3: Cross multiply
    1,105.95x = 1,656.15 × 693.77
  4. Step 4: Simplify right side
    1,105.95x = 1,148,976.30
  5. Step 5: Solve for x
    x = 1,148,976.30/1,105.95
  6. Step 6: Final answer
    x = 1,038.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.