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Finding the Fourth Proportional to 1,760.99, 2,640.95 and 590.79

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Solution

The fourth proportional to 1,760.99, 2,640.95 and 590.79 is: 886.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,760.99 : 2,640.95 = 590.79 : x
  2. Step 2: Convert to fraction form
    1,760.99/2,640.95 = 590.79/x
  3. Step 3: Cross multiply
    1,760.99x = 2,640.95 × 590.79
  4. Step 4: Simplify right side
    1,760.99x = 1,560,259.34
  5. Step 5: Solve for x
    x = 1,560,259.34/1,760.99
  6. Step 6: Final answer
    x = 886.01

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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.