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Finding the Fourth Proportional to 1,653.43, 2,478.78 and 775.48

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Solution

The fourth proportional to 1,653.43, 2,478.78 and 775.48 is: 1,162.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,653.43 : 2,478.78 = 775.48 : x
  2. Step 2: Convert to fraction form
    1,653.43/2,478.78 = 775.48/x
  3. Step 3: Cross multiply
    1,653.43x = 2,478.78 × 775.48
  4. Step 4: Simplify right side
    1,653.43x = 1,922,244.31
  5. Step 5: Solve for x
    x = 1,922,244.31/1,653.43
  6. Step 6: Final answer
    x = 1,162.58

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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.