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Finding the Fourth Proportional to 1,079.99, 1,619.47 and 585.62

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Solution

The fourth proportional to 1,079.99, 1,619.47 and 585.62 is: 878.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,079.99 : 1,619.47 = 585.62 : x
  2. Step 2: Convert to fraction form
    1,079.99/1,619.47 = 585.62/x
  3. Step 3: Cross multiply
    1,079.99x = 1,619.47 × 585.62
  4. Step 4: Simplify right side
    1,079.99x = 948,383.00
  5. Step 5: Solve for x
    x = 948,383.00/1,079.99
  6. Step 6: Final answer
    x = 878.14

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Why These Related Problems?

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