Home / 1,764.61-2,646.80-532.06

Finding the Fourth Proportional to 1,764.61, 2,646.80 and 532.06

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Solution

The fourth proportional to 1,764.61, 2,646.80 and 532.06 is: 798.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,764.61 : 2,646.80 = 532.06 : x
  2. Step 2: Convert to fraction form
    1,764.61/2,646.80 = 532.06/x
  3. Step 3: Cross multiply
    1,764.61x = 2,646.80 × 532.06
  4. Step 4: Simplify right side
    1,764.61x = 1,408,257.74
  5. Step 5: Solve for x
    x = 1,408,257.74/1,764.61
  6. Step 6: Final answer
    x = 798.06

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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.