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Finding the Fourth Proportional to 783.69, 1,174.92 and 431.75

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Solution

The fourth proportional to 783.69, 1,174.92 and 431.75 is: 647.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.69 : 1,174.92 = 431.75 : x
  2. Step 2: Convert to fraction form
    783.69/1,174.92 = 431.75/x
  3. Step 3: Cross multiply
    783.69x = 1,174.92 × 431.75
  4. Step 4: Simplify right side
    783.69x = 507,265.84
  5. Step 5: Solve for x
    x = 507,265.84/783.69
  6. Step 6: Final answer
    x = 647.28

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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.