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Finding the Fourth Proportional to 1,648.89, 2,473.70 and 478.91

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Solution

The fourth proportional to 1,648.89, 2,473.70 and 478.91 is: 718.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.89 : 2,473.70 = 478.91 : x
  2. Step 2: Convert to fraction form
    1,648.89/2,473.70 = 478.91/x
  3. Step 3: Cross multiply
    1,648.89x = 2,473.70 × 478.91
  4. Step 4: Simplify right side
    1,648.89x = 1,184,664.90
  5. Step 5: Solve for x
    x = 1,184,664.90/1,648.89
  6. Step 6: Final answer
    x = 718.46

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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.