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Finding the Fourth Proportional to 990.33, 1,366.40 and 564.98

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Solution

The fourth proportional to 990.33, 1,366.40 and 564.98 is: 779.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.33 : 1,366.40 = 564.98 : x
  2. Step 2: Convert to fraction form
    990.33/1,366.40 = 564.98/x
  3. Step 3: Cross multiply
    990.33x = 1,366.40 × 564.98
  4. Step 4: Simplify right side
    990.33x = 771,983.25
  5. Step 5: Solve for x
    x = 771,983.25/990.33
  6. Step 6: Final answer
    x = 779.52

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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.