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Finding the Fourth Proportional to 990.72, 1,366.44 and 859.50

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Solution

The fourth proportional to 990.72, 1,366.44 and 859.50 is: 1,185.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.72 : 1,366.44 = 859.50 : x
  2. Step 2: Convert to fraction form
    990.72/1,366.44 = 859.50/x
  3. Step 3: Cross multiply
    990.72x = 1,366.44 × 859.50
  4. Step 4: Simplify right side
    990.72x = 1,174,455.18
  5. Step 5: Solve for x
    x = 1,174,455.18/990.72
  6. Step 6: Final answer
    x = 1,185.46

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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.