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Finding the Fourth Proportional to 1,580.25, 2,369.37 and 656.45

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Solution

The fourth proportional to 1,580.25, 2,369.37 and 656.45 is: 984.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.25 : 2,369.37 = 656.45 : x
  2. Step 2: Convert to fraction form
    1,580.25/2,369.37 = 656.45/x
  3. Step 3: Cross multiply
    1,580.25x = 2,369.37 × 656.45
  4. Step 4: Simplify right side
    1,580.25x = 1,555,367.51
  5. Step 5: Solve for x
    x = 1,555,367.51/1,580.25
  6. Step 6: Final answer
    x = 984.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.