Home / 1,109.04-1,663.60-589.20

Finding the Fourth Proportional to 1,109.04, 1,663.60 and 589.20

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Solution

The fourth proportional to 1,109.04, 1,663.60 and 589.20 is: 883.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.04 : 1,663.60 = 589.20 : x
  2. Step 2: Convert to fraction form
    1,109.04/1,663.60 = 589.20/x
  3. Step 3: Cross multiply
    1,109.04x = 1,663.60 × 589.20
  4. Step 4: Simplify right side
    1,109.04x = 980,193.12
  5. Step 5: Solve for x
    x = 980,193.12/1,109.04
  6. Step 6: Final answer
    x = 883.82

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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.