Home / 1,290.52-1,932.30-802.60

Finding the Fourth Proportional to 1,290.52, 1,932.30 and 802.60

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Solution

The fourth proportional to 1,290.52, 1,932.30 and 802.60 is: 1,201.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290.52 : 1,932.30 = 802.60 : x
  2. Step 2: Convert to fraction form
    1,290.52/1,932.30 = 802.60/x
  3. Step 3: Cross multiply
    1,290.52x = 1,932.30 × 802.60
  4. Step 4: Simplify right side
    1,290.52x = 1,550,863.98
  5. Step 5: Solve for x
    x = 1,550,863.98/1,290.52
  6. Step 6: Final answer
    x = 1,201.74

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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.