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Finding the Fourth Proportional to 1,727.65, 2,590.83 and 557.36

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Solution

The fourth proportional to 1,727.65, 2,590.83 and 557.36 is: 835.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,727.65 : 2,590.83 = 557.36 : x
  2. Step 2: Convert to fraction form
    1,727.65/2,590.83 = 557.36/x
  3. Step 3: Cross multiply
    1,727.65x = 2,590.83 × 557.36
  4. Step 4: Simplify right side
    1,727.65x = 1,444,025.01
  5. Step 5: Solve for x
    x = 1,444,025.01/1,727.65
  6. Step 6: Final answer
    x = 835.83

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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.