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Finding the Fourth Proportional to 729.84, 1,007.18 and 419.34

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Solution

The fourth proportional to 729.84, 1,007.18 and 419.34 is: 578.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.84 : 1,007.18 = 419.34 : x
  2. Step 2: Convert to fraction form
    729.84/1,007.18 = 419.34/x
  3. Step 3: Cross multiply
    729.84x = 1,007.18 × 419.34
  4. Step 4: Simplify right side
    729.84x = 422,356.47
  5. Step 5: Solve for x
    x = 422,356.47/729.84
  6. Step 6: Final answer
    x = 578.69

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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.