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Finding the Fourth Proportional to 1,003.29, 1,384.40 and 561.11

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Solution

The fourth proportional to 1,003.29, 1,384.40 and 561.11 is: 774.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.29 : 1,384.40 = 561.11 : x
  2. Step 2: Convert to fraction form
    1,003.29/1,384.40 = 561.11/x
  3. Step 3: Cross multiply
    1,003.29x = 1,384.40 × 561.11
  4. Step 4: Simplify right side
    1,003.29x = 776,800.68
  5. Step 5: Solve for x
    x = 776,800.68/1,003.29
  6. Step 6: Final answer
    x = 774.25

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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.