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Finding the Fourth Proportional to 1,191.24, 1,643.76 and 693.83

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Solution

The fourth proportional to 1,191.24, 1,643.76 and 693.83 is: 957.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.24 : 1,643.76 = 693.83 : x
  2. Step 2: Convert to fraction form
    1,191.24/1,643.76 = 693.83/x
  3. Step 3: Cross multiply
    1,191.24x = 1,643.76 × 693.83
  4. Step 4: Simplify right side
    1,191.24x = 1,140,494.11
  5. Step 5: Solve for x
    x = 1,140,494.11/1,191.24
  6. Step 6: Final answer
    x = 957.40

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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.