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Finding the Fourth Proportional to 972.69, 1,459.26 and 279.37

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Solution

The fourth proportional to 972.69, 1,459.26 and 279.37 is: 419.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.69 : 1,459.26 = 279.37 : x
  2. Step 2: Convert to fraction form
    972.69/1,459.26 = 279.37/x
  3. Step 3: Cross multiply
    972.69x = 1,459.26 × 279.37
  4. Step 4: Simplify right side
    972.69x = 407,667.08
  5. Step 5: Solve for x
    x = 407,667.08/972.69
  6. Step 6: Final answer
    x = 419.11

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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.