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Finding the Fourth Proportional to 1,054.68, 1,581.84 and 285

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Solution

The fourth proportional to 1,054.68, 1,581.84 and 285 is: 427.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.68 : 1,581.84 = 285 : x
  2. Step 2: Convert to fraction form
    1,054.68/1,581.84 = 285/x
  3. Step 3: Cross multiply
    1,054.68x = 1,581.84 × 285
  4. Step 4: Simplify right side
    1,054.68x = 450,824.40
  5. Step 5: Solve for x
    x = 450,824.40/1,054.68
  6. Step 6: Final answer
    x = 427.45

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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.