Home / 1,320.14-1,980.89-589.53

Finding the Fourth Proportional to 1,320.14, 1,980.89 and 589.53

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Solution

The fourth proportional to 1,320.14, 1,980.89 and 589.53 is: 884.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,320.14 : 1,980.89 = 589.53 : x
  2. Step 2: Convert to fraction form
    1,320.14/1,980.89 = 589.53/x
  3. Step 3: Cross multiply
    1,320.14x = 1,980.89 × 589.53
  4. Step 4: Simplify right side
    1,320.14x = 1,167,791.13
  5. Step 5: Solve for x
    x = 1,167,791.13/1,320.14
  6. Step 6: Final answer
    x = 884.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.