Home / 1,036.20-1,429.95-564.09

Finding the Fourth Proportional to 1,036.20, 1,429.95 and 564.09

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Solution

The fourth proportional to 1,036.20, 1,429.95 and 564.09 is: 778.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.20 : 1,429.95 = 564.09 : x
  2. Step 2: Convert to fraction form
    1,036.20/1,429.95 = 564.09/x
  3. Step 3: Cross multiply
    1,036.20x = 1,429.95 × 564.09
  4. Step 4: Simplify right side
    1,036.20x = 806,619.93
  5. Step 5: Solve for x
    x = 806,619.93/1,036.20
  6. Step 6: Final answer
    x = 778.44

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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.