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Finding the Fourth Proportional to 672.62, 1,007.88 and 647.32

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Solution

The fourth proportional to 672.62, 1,007.88 and 647.32 is: 969.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.62 : 1,007.88 = 647.32 : x
  2. Step 2: Convert to fraction form
    672.62/1,007.88 = 647.32/x
  3. Step 3: Cross multiply
    672.62x = 1,007.88 × 647.32
  4. Step 4: Simplify right side
    672.62x = 652,420.88
  5. Step 5: Solve for x
    x = 652,420.88/672.62
  6. Step 6: Final answer
    x = 969.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.