Home / 1,335.12-2,002.14-709.80

Finding the Fourth Proportional to 1,335.12, 2,002.14 and 709.80

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Solution

The fourth proportional to 1,335.12, 2,002.14 and 709.80 is: 1,064.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,335.12 : 2,002.14 = 709.80 : x
  2. Step 2: Convert to fraction form
    1,335.12/2,002.14 = 709.80/x
  3. Step 3: Cross multiply
    1,335.12x = 2,002.14 × 709.80
  4. Step 4: Simplify right side
    1,335.12x = 1,421,118.97
  5. Step 5: Solve for x
    x = 1,421,118.97/1,335.12
  6. Step 6: Final answer
    x = 1,064.41

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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.