Home / 1,466.40-2,199.96-686.52

Finding the Fourth Proportional to 1,466.40, 2,199.96 and 686.52

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Solution

The fourth proportional to 1,466.40, 2,199.96 and 686.52 is: 1,029.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,466.40 : 2,199.96 = 686.52 : x
  2. Step 2: Convert to fraction form
    1,466.40/2,199.96 = 686.52/x
  3. Step 3: Cross multiply
    1,466.40x = 2,199.96 × 686.52
  4. Step 4: Simplify right side
    1,466.40x = 1,510,316.54
  5. Step 5: Solve for x
    x = 1,510,316.54/1,466.40
  6. Step 6: Final answer
    x = 1,029.95

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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.