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Finding the Fourth Proportional to 672.38, 921.18 and 646.46

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Solution

The fourth proportional to 672.38, 921.18 and 646.46 is: 885.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.38 : 921.18 = 646.46 : x
  2. Step 2: Convert to fraction form
    672.38/921.18 = 646.46/x
  3. Step 3: Cross multiply
    672.38x = 921.18 × 646.46
  4. Step 4: Simplify right side
    672.38x = 595,506.02
  5. Step 5: Solve for x
    x = 595,506.02/672.38
  6. Step 6: Final answer
    x = 885.67

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.