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Finding the Fourth Proportional to 1,168.95, 1,753.62 and 438.51

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Solution

The fourth proportional to 1,168.95, 1,753.62 and 438.51 is: 657.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,168.95 : 1,753.62 = 438.51 : x
  2. Step 2: Convert to fraction form
    1,168.95/1,753.62 = 438.51/x
  3. Step 3: Cross multiply
    1,168.95x = 1,753.62 × 438.51
  4. Step 4: Simplify right side
    1,168.95x = 768,979.91
  5. Step 5: Solve for x
    x = 768,979.91/1,168.95
  6. Step 6: Final answer
    x = 657.84

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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.