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Finding the Fourth Proportional to 1,483.92, 2,047.68 and 820.68

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Solution

The fourth proportional to 1,483.92, 2,047.68 and 820.68 is: 1,132.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,483.92 : 2,047.68 = 820.68 : x
  2. Step 2: Convert to fraction form
    1,483.92/2,047.68 = 820.68/x
  3. Step 3: Cross multiply
    1,483.92x = 2,047.68 × 820.68
  4. Step 4: Simplify right side
    1,483.92x = 1,680,490.02
  5. Step 5: Solve for x
    x = 1,680,490.02/1,483.92
  6. Step 6: Final answer
    x = 1,132.47

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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.