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Finding the Fourth Proportional to 709.74, 979.63 and 499.98

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Solution

The fourth proportional to 709.74, 979.63 and 499.98 is: 690.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.74 : 979.63 = 499.98 : x
  2. Step 2: Convert to fraction form
    709.74/979.63 = 499.98/x
  3. Step 3: Cross multiply
    709.74x = 979.63 × 499.98
  4. Step 4: Simplify right side
    709.74x = 489,794.18
  5. Step 5: Solve for x
    x = 489,794.18/709.74
  6. Step 6: Final answer
    x = 690.10

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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.