Home / 1,451.14-2,176.87-463.61

Finding the Fourth Proportional to 1,451.14, 2,176.87 and 463.61

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Solution

The fourth proportional to 1,451.14, 2,176.87 and 463.61 is: 695.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,451.14 : 2,176.87 = 463.61 : x
  2. Step 2: Convert to fraction form
    1,451.14/2,176.87 = 463.61/x
  3. Step 3: Cross multiply
    1,451.14x = 2,176.87 × 463.61
  4. Step 4: Simplify right side
    1,451.14x = 1,009,219.49
  5. Step 5: Solve for x
    x = 1,009,219.49/1,451.14
  6. Step 6: Final answer
    x = 695.47

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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.