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Finding the Fourth Proportional to 672.84, 929.70 and 541.62

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Solution

The fourth proportional to 672.84, 929.70 and 541.62 is: 748.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.84 : 929.70 = 541.62 : x
  2. Step 2: Convert to fraction form
    672.84/929.70 = 541.62/x
  3. Step 3: Cross multiply
    672.84x = 929.70 × 541.62
  4. Step 4: Simplify right side
    672.84x = 503,544.11
  5. Step 5: Solve for x
    x = 503,544.11/672.84
  6. Step 6: Final answer
    x = 748.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.