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Finding the Fourth Proportional to 1,483.79, 2,047.44 and 820.65

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Solution

The fourth proportional to 1,483.79, 2,047.44 and 820.65 is: 1,132.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,483.79 : 2,047.44 = 820.65 : x
  2. Step 2: Convert to fraction form
    1,483.79/2,047.44 = 820.65/x
  3. Step 3: Cross multiply
    1,483.79x = 2,047.44 × 820.65
  4. Step 4: Simplify right side
    1,483.79x = 1,680,231.64
  5. Step 5: Solve for x
    x = 1,680,231.64/1,483.79
  6. Step 6: Final answer
    x = 1,132.40

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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.