Home / 1,050.16-1,575.24-280.66

Finding the Fourth Proportional to 1,050.16, 1,575.24 and 280.66

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Solution

The fourth proportional to 1,050.16, 1,575.24 and 280.66 is: 420.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.16 : 1,575.24 = 280.66 : x
  2. Step 2: Convert to fraction form
    1,050.16/1,575.24 = 280.66/x
  3. Step 3: Cross multiply
    1,050.16x = 1,575.24 × 280.66
  4. Step 4: Simplify right side
    1,050.16x = 442,106.86
  5. Step 5: Solve for x
    x = 442,106.86/1,050.16
  6. Step 6: Final answer
    x = 420.99

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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.