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Finding the Fourth Proportional to 1,483.44, 2,047.08 and 820.32

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Solution

The fourth proportional to 1,483.44, 2,047.08 and 820.32 is: 1,132.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,483.44 : 2,047.08 = 820.32 : x
  2. Step 2: Convert to fraction form
    1,483.44/2,047.08 = 820.32/x
  3. Step 3: Cross multiply
    1,483.44x = 2,047.08 × 820.32
  4. Step 4: Simplify right side
    1,483.44x = 1,679,260.67
  5. Step 5: Solve for x
    x = 1,679,260.67/1,483.44
  6. Step 6: Final answer
    x = 1,132.00

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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.