Home / 1,281.96-1,921.79-460.04

Finding the Fourth Proportional to 1,281.96, 1,921.79 and 460.04

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Solution

The fourth proportional to 1,281.96, 1,921.79 and 460.04 is: 689.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.96 : 1,921.79 = 460.04 : x
  2. Step 2: Convert to fraction form
    1,281.96/1,921.79 = 460.04/x
  3. Step 3: Cross multiply
    1,281.96x = 1,921.79 × 460.04
  4. Step 4: Simplify right side
    1,281.96x = 884,106.42
  5. Step 5: Solve for x
    x = 884,106.42/1,281.96
  6. Step 6: Final answer
    x = 689.65

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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.