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Finding the Fourth Proportional to 714.94, 987.06 and 491.24

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Solution

The fourth proportional to 714.94, 987.06 and 491.24 is: 678.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.94 : 987.06 = 491.24 : x
  2. Step 2: Convert to fraction form
    714.94/987.06 = 491.24/x
  3. Step 3: Cross multiply
    714.94x = 987.06 × 491.24
  4. Step 4: Simplify right side
    714.94x = 484,883.35
  5. Step 5: Solve for x
    x = 484,883.35/714.94
  6. Step 6: Final answer
    x = 678.22

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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.