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Finding the Fourth Proportional to 1,096.32, 1,643.09 and 479.87

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Solution

The fourth proportional to 1,096.32, 1,643.09 and 479.87 is: 719.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.32 : 1,643.09 = 479.87 : x
  2. Step 2: Convert to fraction form
    1,096.32/1,643.09 = 479.87/x
  3. Step 3: Cross multiply
    1,096.32x = 1,643.09 × 479.87
  4. Step 4: Simplify right side
    1,096.32x = 788,458.98
  5. Step 5: Solve for x
    x = 788,458.98/1,096.32
  6. Step 6: Final answer
    x = 719.19

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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.