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Finding the Fourth Proportional to 1,649.76, 2,474.25 and 479.45

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Solution

The fourth proportional to 1,649.76, 2,474.25 and 479.45 is: 719.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.76 : 2,474.25 = 479.45 : x
  2. Step 2: Convert to fraction form
    1,649.76/2,474.25 = 479.45/x
  3. Step 3: Cross multiply
    1,649.76x = 2,474.25 × 479.45
  4. Step 4: Simplify right side
    1,649.76x = 1,186,279.16
  5. Step 5: Solve for x
    x = 1,186,279.16/1,649.76
  6. Step 6: Final answer
    x = 719.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.