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Finding the Fourth Proportional to 1,185.17, 1,777.93 and 444.72

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Solution

The fourth proportional to 1,185.17, 1,777.93 and 444.72 is: 667.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185.17 : 1,777.93 = 444.72 : x
  2. Step 2: Convert to fraction form
    1,185.17/1,777.93 = 444.72/x
  3. Step 3: Cross multiply
    1,185.17x = 1,777.93 × 444.72
  4. Step 4: Simplify right side
    1,185.17x = 790,679.92
  5. Step 5: Solve for x
    x = 790,679.92/1,185.17
  6. Step 6: Final answer
    x = 667.14

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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.