Home / 1,280.06-1,919.52-458.12

Finding the Fourth Proportional to 1,280.06, 1,919.52 and 458.12

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Solution

The fourth proportional to 1,280.06, 1,919.52 and 458.12 is: 686.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.06 : 1,919.52 = 458.12 : x
  2. Step 2: Convert to fraction form
    1,280.06/1,919.52 = 458.12/x
  3. Step 3: Cross multiply
    1,280.06x = 1,919.52 × 458.12
  4. Step 4: Simplify right side
    1,280.06x = 879,370.50
  5. Step 5: Solve for x
    x = 879,370.50/1,280.06
  6. Step 6: Final answer
    x = 686.98

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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.