Home / 1,027.20-1,417.52-561.44

Finding the Fourth Proportional to 1,027.20, 1,417.52 and 561.44

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Solution

The fourth proportional to 1,027.20, 1,417.52 and 561.44 is: 774.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.20 : 1,417.52 = 561.44 : x
  2. Step 2: Convert to fraction form
    1,027.20/1,417.52 = 561.44/x
  3. Step 3: Cross multiply
    1,027.20x = 1,417.52 × 561.44
  4. Step 4: Simplify right side
    1,027.20x = 795,852.43
  5. Step 5: Solve for x
    x = 795,852.43/1,027.20
  6. Step 6: Final answer
    x = 774.78

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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.