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Finding the Fourth Proportional to 1,027.91, 1,418.50 and 562.16

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Solution

The fourth proportional to 1,027.91, 1,418.50 and 562.16 is: 775.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.91 : 1,418.50 = 562.16 : x
  2. Step 2: Convert to fraction form
    1,027.91/1,418.50 = 562.16/x
  3. Step 3: Cross multiply
    1,027.91x = 1,418.50 × 562.16
  4. Step 4: Simplify right side
    1,027.91x = 797,417.07
  5. Step 5: Solve for x
    x = 797,417.07/1,027.91
  6. Step 6: Final answer
    x = 775.77

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