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Finding the Fourth Proportional to 1,175.19, 1,762.82 and 444.81

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Solution

The fourth proportional to 1,175.19, 1,762.82 and 444.81 is: 667.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,175.19 : 1,762.82 = 444.81 : x
  2. Step 2: Convert to fraction form
    1,175.19/1,762.82 = 444.81/x
  3. Step 3: Cross multiply
    1,175.19x = 1,762.82 × 444.81
  4. Step 4: Simplify right side
    1,175.19x = 784,126.02
  5. Step 5: Solve for x
    x = 784,126.02/1,175.19
  6. Step 6: Final answer
    x = 667.24

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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.