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Finding the Fourth Proportional to 672.40, 1,020.32 and 672.40

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Solution

The fourth proportional to 672.40, 1,020.32 and 672.40 is: 1,020.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.40 : 1,020.32 = 672.40 : x
  2. Step 2: Convert to fraction form
    672.40/1,020.32 = 672.40/x
  3. Step 3: Cross multiply
    672.40x = 1,020.32 × 672.40
  4. Step 4: Simplify right side
    672.40x = 686,063.17
  5. Step 5: Solve for x
    x = 686,063.17/672.40
  6. Step 6: Final answer
    x = 1,020.32

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.