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Finding the Fourth Proportional to 1,003.66, 1,384.90 and 561.54

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Solution

The fourth proportional to 1,003.66, 1,384.90 and 561.54 is: 774.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.66 : 1,384.90 = 561.54 : x
  2. Step 2: Convert to fraction form
    1,003.66/1,384.90 = 561.54/x
  3. Step 3: Cross multiply
    1,003.66x = 1,384.90 × 561.54
  4. Step 4: Simplify right side
    1,003.66x = 777,680.54
  5. Step 5: Solve for x
    x = 777,680.54/1,003.66
  6. Step 6: Final answer
    x = 774.85

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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.