Home / 1,442.46-2,164.28-712.04

Finding the Fourth Proportional to 1,442.46, 2,164.28 and 712.04

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Solution

The fourth proportional to 1,442.46, 2,164.28 and 712.04 is: 1,068.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.46 : 2,164.28 = 712.04 : x
  2. Step 2: Convert to fraction form
    1,442.46/2,164.28 = 712.04/x
  3. Step 3: Cross multiply
    1,442.46x = 2,164.28 × 712.04
  4. Step 4: Simplify right side
    1,442.46x = 1,541,053.93
  5. Step 5: Solve for x
    x = 1,541,053.93/1,442.46
  6. Step 6: Final answer
    x = 1,068.35

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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.