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Finding the Fourth Proportional to 1,003.22, 1,384.38 and 561.14

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Solution

The fourth proportional to 1,003.22, 1,384.38 and 561.14 is: 774.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.22 : 1,384.38 = 561.14 : x
  2. Step 2: Convert to fraction form
    1,003.22/1,384.38 = 561.14/x
  3. Step 3: Cross multiply
    1,003.22x = 1,384.38 × 561.14
  4. Step 4: Simplify right side
    1,003.22x = 776,830.99
  5. Step 5: Solve for x
    x = 776,830.99/1,003.22
  6. Step 6: Final answer
    x = 774.34

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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.