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Finding the Fourth Proportional to 672.22, 1,006.60 and 597.83

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Solution

The fourth proportional to 672.22, 1,006.60 and 597.83 is: 895.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.22 : 1,006.60 = 597.83 : x
  2. Step 2: Convert to fraction form
    672.22/1,006.60 = 597.83/x
  3. Step 3: Cross multiply
    672.22x = 1,006.60 × 597.83
  4. Step 4: Simplify right side
    672.22x = 601,775.68
  5. Step 5: Solve for x
    x = 601,775.68/672.22
  6. Step 6: Final answer
    x = 895.21

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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.