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Finding the Fourth Proportional to 1,027.36, 1,417.74 and 561.62

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Solution

The fourth proportional to 1,027.36, 1,417.74 and 561.62 is: 775.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.36 : 1,417.74 = 561.62 : x
  2. Step 2: Convert to fraction form
    1,027.36/1,417.74 = 561.62/x
  3. Step 3: Cross multiply
    1,027.36x = 1,417.74 × 561.62
  4. Step 4: Simplify right side
    1,027.36x = 796,231.14
  5. Step 5: Solve for x
    x = 796,231.14/1,027.36
  6. Step 6: Final answer
    x = 775.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.