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Finding the Fourth Proportional to 678.84, 937.08 and 503.88

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Solution

The fourth proportional to 678.84, 937.08 and 503.88 is: 695.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.84 : 937.08 = 503.88 : x
  2. Step 2: Convert to fraction form
    678.84/937.08 = 503.88/x
  3. Step 3: Cross multiply
    678.84x = 937.08 × 503.88
  4. Step 4: Simplify right side
    678.84x = 472,175.87
  5. Step 5: Solve for x
    x = 472,175.87/678.84
  6. Step 6: Final answer
    x = 695.56

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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.