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Finding the Fourth Proportional to 714.84, 986.49 and 400.13

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Solution

The fourth proportional to 714.84, 986.49 and 400.13 is: 552.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.84 : 986.49 = 400.13 : x
  2. Step 2: Convert to fraction form
    714.84/986.49 = 400.13/x
  3. Step 3: Cross multiply
    714.84x = 986.49 × 400.13
  4. Step 4: Simplify right side
    714.84x = 394,719.31
  5. Step 5: Solve for x
    x = 394,719.31/714.84
  6. Step 6: Final answer
    x = 552.18

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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.