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Finding the Fourth Proportional to 1,648.79, 2,473.19 and 478.86

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Solution

The fourth proportional to 1,648.79, 2,473.19 and 478.86 is: 718.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.79 : 2,473.19 = 478.86 : x
  2. Step 2: Convert to fraction form
    1,648.79/2,473.19 = 478.86/x
  3. Step 3: Cross multiply
    1,648.79x = 2,473.19 × 478.86
  4. Step 4: Simplify right side
    1,648.79x = 1,184,309.37
  5. Step 5: Solve for x
    x = 1,184,309.37/1,648.79
  6. Step 6: Final answer
    x = 718.29

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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.