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Finding the Fourth Proportional to 1,093.01, 1,639.91 and 477.14

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Solution

The fourth proportional to 1,093.01, 1,639.91 and 477.14 is: 715.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093.01 : 1,639.91 = 477.14 : x
  2. Step 2: Convert to fraction form
    1,093.01/1,639.91 = 477.14/x
  3. Step 3: Cross multiply
    1,093.01x = 1,639.91 × 477.14
  4. Step 4: Simplify right side
    1,093.01x = 782,459.65
  5. Step 5: Solve for x
    x = 782,459.65/1,093.01
  6. Step 6: Final answer
    x = 715.88

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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.