Home / 1,189.30-1,783.92-929.52

Finding the Fourth Proportional to 1,189.30, 1,783.92 and 929.52

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Solution

The fourth proportional to 1,189.30, 1,783.92 and 929.52 is: 1,394.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.30 : 1,783.92 = 929.52 : x
  2. Step 2: Convert to fraction form
    1,189.30/1,783.92 = 929.52/x
  3. Step 3: Cross multiply
    1,189.30x = 1,783.92 × 929.52
  4. Step 4: Simplify right side
    1,189.30x = 1,658,189.32
  5. Step 5: Solve for x
    x = 1,658,189.32/1,189.30
  6. Step 6: Final answer
    x = 1,394.26

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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.