Home / 1,764.45-2,646.51-532.13

Finding the Fourth Proportional to 1,764.45, 2,646.51 and 532.13

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Solution

The fourth proportional to 1,764.45, 2,646.51 and 532.13 is: 798.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,764.45 : 2,646.51 = 532.13 : x
  2. Step 2: Convert to fraction form
    1,764.45/2,646.51 = 532.13/x
  3. Step 3: Cross multiply
    1,764.45x = 2,646.51 × 532.13
  4. Step 4: Simplify right side
    1,764.45x = 1,408,287.37
  5. Step 5: Solve for x
    x = 1,408,287.37/1,764.45
  6. Step 6: Final answer
    x = 798.15

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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.