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Finding the Fourth Proportional to 972.82, 1,459.26 and 279.55

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Solution

The fourth proportional to 972.82, 1,459.26 and 279.55 is: 419.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.82 : 1,459.26 = 279.55 : x
  2. Step 2: Convert to fraction form
    972.82/1,459.26 = 279.55/x
  3. Step 3: Cross multiply
    972.82x = 1,459.26 × 279.55
  4. Step 4: Simplify right side
    972.82x = 407,936.13
  5. Step 5: Solve for x
    x = 407,936.13/972.82
  6. Step 6: Final answer
    x = 419.33

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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.