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Finding the Fourth Proportional to 779.02, 1,074.68 and 499.12

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Solution

The fourth proportional to 779.02, 1,074.68 and 499.12 is: 688.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.02 : 1,074.68 = 499.12 : x
  2. Step 2: Convert to fraction form
    779.02/1,074.68 = 499.12/x
  3. Step 3: Cross multiply
    779.02x = 1,074.68 × 499.12
  4. Step 4: Simplify right side
    779.02x = 536,394.28
  5. Step 5: Solve for x
    x = 536,394.28/779.02
  6. Step 6: Final answer
    x = 688.55

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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.