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Finding the Fourth Proportional to 783.91, 1,175.07 and 506.08

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Solution

The fourth proportional to 783.91, 1,175.07 and 506.08 is: 758.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.91 : 1,175.07 = 506.08 : x
  2. Step 2: Convert to fraction form
    783.91/1,175.07 = 506.08/x
  3. Step 3: Cross multiply
    783.91x = 1,175.07 × 506.08
  4. Step 4: Simplify right side
    783.91x = 594,682.79
  5. Step 5: Solve for x
    x = 594,682.79/783.91
  6. Step 6: Final answer
    x = 758.61

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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.