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Finding the Fourth Proportional to 1,191.10, 1,643.50 and 693.56

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Solution

The fourth proportional to 1,191.10, 1,643.50 and 693.56 is: 956.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.10 : 1,643.50 = 693.56 : x
  2. Step 2: Convert to fraction form
    1,191.10/1,643.50 = 693.56/x
  3. Step 3: Cross multiply
    1,191.10x = 1,643.50 × 693.56
  4. Step 4: Simplify right side
    1,191.10x = 1,139,865.86
  5. Step 5: Solve for x
    x = 1,139,865.86/1,191.10
  6. Step 6: Final answer
    x = 956.99

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