Home / 1,064.19-1,468.56-598.44

Finding the Fourth Proportional to 1,064.19, 1,468.56 and 598.44

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Solution

The fourth proportional to 1,064.19, 1,468.56 and 598.44 is: 825.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.19 : 1,468.56 = 598.44 : x
  2. Step 2: Convert to fraction form
    1,064.19/1,468.56 = 598.44/x
  3. Step 3: Cross multiply
    1,064.19x = 1,468.56 × 598.44
  4. Step 4: Simplify right side
    1,064.19x = 878,845.05
  5. Step 5: Solve for x
    x = 878,845.05/1,064.19
  6. Step 6: Final answer
    x = 825.83

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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.