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Finding the Fourth Proportional to 1,648.93, 2,473.06 and 478.68

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Solution

The fourth proportional to 1,648.93, 2,473.06 and 478.68 is: 717.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.93 : 2,473.06 = 478.68 : x
  2. Step 2: Convert to fraction form
    1,648.93/2,473.06 = 478.68/x
  3. Step 3: Cross multiply
    1,648.93x = 2,473.06 × 478.68
  4. Step 4: Simplify right side
    1,648.93x = 1,183,814.31
  5. Step 5: Solve for x
    x = 1,183,814.31/1,648.93
  6. Step 6: Final answer
    x = 717.93

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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.