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Finding the Fourth Proportional to 989.91, 1,366.23 and 564.53

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Solution

The fourth proportional to 989.91, 1,366.23 and 564.53 is: 779.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.91 : 1,366.23 = 564.53 : x
  2. Step 2: Convert to fraction form
    989.91/1,366.23 = 564.53/x
  3. Step 3: Cross multiply
    989.91x = 1,366.23 × 564.53
  4. Step 4: Simplify right side
    989.91x = 771,281.36
  5. Step 5: Solve for x
    x = 771,281.36/989.91
  6. Step 6: Final answer
    x = 779.15

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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.