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Finding the Fourth Proportional to 1,054.39, 1,581.51 and 396.13

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Solution

The fourth proportional to 1,054.39, 1,581.51 and 396.13 is: 594.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.39 : 1,581.51 = 396.13 : x
  2. Step 2: Convert to fraction form
    1,054.39/1,581.51 = 396.13/x
  3. Step 3: Cross multiply
    1,054.39x = 1,581.51 × 396.13
  4. Step 4: Simplify right side
    1,054.39x = 626,483.56
  5. Step 5: Solve for x
    x = 626,483.56/1,054.39
  6. Step 6: Final answer
    x = 594.17

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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.