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Finding the Fourth Proportional to 783.82, 1,174.62 and 437.14

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Solution

The fourth proportional to 783.82, 1,174.62 and 437.14 is: 655.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.82 : 1,174.62 = 437.14 : x
  2. Step 2: Convert to fraction form
    783.82/1,174.62 = 437.14/x
  3. Step 3: Cross multiply
    783.82x = 1,174.62 × 437.14
  4. Step 4: Simplify right side
    783.82x = 513,473.39
  5. Step 5: Solve for x
    x = 513,473.39/783.82
  6. Step 6: Final answer
    x = 655.09

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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.