Home / 1,484.07-2,047.87-820.83

Finding the Fourth Proportional to 1,484.07, 2,047.87 and 820.83

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Solution

The fourth proportional to 1,484.07, 2,047.87 and 820.83 is: 1,132.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,484.07 : 2,047.87 = 820.83 : x
  2. Step 2: Convert to fraction form
    1,484.07/2,047.87 = 820.83/x
  3. Step 3: Cross multiply
    1,484.07x = 2,047.87 × 820.83
  4. Step 4: Simplify right side
    1,484.07x = 1,680,951.08
  5. Step 5: Solve for x
    x = 1,680,951.08/1,484.07
  6. Step 6: Final answer
    x = 1,132.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.