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Finding the Fourth Proportional to 1,095.78, 1,642.57 and 437.42

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Solution

The fourth proportional to 1,095.78, 1,642.57 and 437.42 is: 655.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.78 : 1,642.57 = 437.42 : x
  2. Step 2: Convert to fraction form
    1,095.78/1,642.57 = 437.42/x
  3. Step 3: Cross multiply
    1,095.78x = 1,642.57 × 437.42
  4. Step 4: Simplify right side
    1,095.78x = 718,487.97
  5. Step 5: Solve for x
    x = 718,487.97/1,095.78
  6. Step 6: Final answer
    x = 655.69

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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.