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Finding the Fourth Proportional to 1,074.85, 1,612.81 and 498.13

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Solution

The fourth proportional to 1,074.85, 1,612.81 and 498.13 is: 747.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.85 : 1,612.81 = 498.13 : x
  2. Step 2: Convert to fraction form
    1,074.85/1,612.81 = 498.13/x
  3. Step 3: Cross multiply
    1,074.85x = 1,612.81 × 498.13
  4. Step 4: Simplify right side
    1,074.85x = 803,389.05
  5. Step 5: Solve for x
    x = 803,389.05/1,074.85
  6. Step 6: Final answer
    x = 747.44

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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.