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Finding the Fourth Proportional to 1,585.69, 2,376.82 and 661.00

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Solution

The fourth proportional to 1,585.69, 2,376.82 and 661.00 is: 990.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.69 : 2,376.82 = 661.00 : x
  2. Step 2: Convert to fraction form
    1,585.69/2,376.82 = 661.00/x
  3. Step 3: Cross multiply
    1,585.69x = 2,376.82 × 661.00
  4. Step 4: Simplify right side
    1,585.69x = 1,571,066.14
  5. Step 5: Solve for x
    x = 1,571,066.14/1,585.69
  6. Step 6: Final answer
    x = 990.78

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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.