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Finding the Fourth Proportional to 714.33, 984.74 and 503.87

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Solution

The fourth proportional to 714.33, 984.74 and 503.87 is: 694.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.33 : 984.74 = 503.87 : x
  2. Step 2: Convert to fraction form
    714.33/984.74 = 503.87/x
  3. Step 3: Cross multiply
    714.33x = 984.74 × 503.87
  4. Step 4: Simplify right side
    714.33x = 496,173.50
  5. Step 5: Solve for x
    x = 496,173.50/714.33
  6. Step 6: Final answer
    x = 694.60

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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.