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Finding the Fourth Proportional to 1,384.08, 2,074.62 and 562.12

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Solution

The fourth proportional to 1,384.08, 2,074.62 and 562.12 is: 842.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.08 : 2,074.62 = 562.12 : x
  2. Step 2: Convert to fraction form
    1,384.08/2,074.62 = 562.12/x
  3. Step 3: Cross multiply
    1,384.08x = 2,074.62 × 562.12
  4. Step 4: Simplify right side
    1,384.08x = 1,166,185.39
  5. Step 5: Solve for x
    x = 1,166,185.39/1,384.08
  6. Step 6: Final answer
    x = 842.57

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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.