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Finding the Fourth Proportional to 672.71, 1,006.05 and 506.06

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Solution

The fourth proportional to 672.71, 1,006.05 and 506.06 is: 756.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.71 : 1,006.05 = 506.06 : x
  2. Step 2: Convert to fraction form
    672.71/1,006.05 = 506.06/x
  3. Step 3: Cross multiply
    672.71x = 1,006.05 × 506.06
  4. Step 4: Simplify right side
    672.71x = 509,127.96
  5. Step 5: Solve for x
    x = 509,127.96/672.71
  6. Step 6: Final answer
    x = 756.84

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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.