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Finding the Fourth Proportional to 979.98, 1,468.62 and 704.85

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Solution

The fourth proportional to 979.98, 1,468.62 and 704.85 is: 1,056.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.98 : 1,468.62 = 704.85 : x
  2. Step 2: Convert to fraction form
    979.98/1,468.62 = 704.85/x
  3. Step 3: Cross multiply
    979.98x = 1,468.62 × 704.85
  4. Step 4: Simplify right side
    979.98x = 1,035,156.81
  5. Step 5: Solve for x
    x = 1,035,156.81/979.98
  6. Step 6: Final answer
    x = 1,056.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.