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Finding the Fourth Proportional to 1,054.91, 1,581.74 and 438.26

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Solution

The fourth proportional to 1,054.91, 1,581.74 and 438.26 is: 657.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.91 : 1,581.74 = 438.26 : x
  2. Step 2: Convert to fraction form
    1,054.91/1,581.74 = 438.26/x
  3. Step 3: Cross multiply
    1,054.91x = 1,581.74 × 438.26
  4. Step 4: Simplify right side
    1,054.91x = 693,204.92
  5. Step 5: Solve for x
    x = 693,204.92/1,054.91
  6. Step 6: Final answer
    x = 657.12

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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.