Home / 1,061.19-1,464.44-589.09

Finding the Fourth Proportional to 1,061.19, 1,464.44 and 589.09

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Solution

The fourth proportional to 1,061.19, 1,464.44 and 589.09 is: 812.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.19 : 1,464.44 = 589.09 : x
  2. Step 2: Convert to fraction form
    1,061.19/1,464.44 = 589.09/x
  3. Step 3: Cross multiply
    1,061.19x = 1,464.44 × 589.09
  4. Step 4: Simplify right side
    1,061.19x = 862,688.07
  5. Step 5: Solve for x
    x = 862,688.07/1,061.19
  6. Step 6: Final answer
    x = 812.95

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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.