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Finding the Fourth Proportional to 972.96, 1,459.14 and 425

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Solution

The fourth proportional to 972.96, 1,459.14 and 425 is: 637.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.96 : 1,459.14 = 425 : x
  2. Step 2: Convert to fraction form
    972.96/1,459.14 = 425/x
  3. Step 3: Cross multiply
    972.96x = 1,459.14 × 425
  4. Step 4: Simplify right side
    972.96x = 620,134.50
  5. Step 5: Solve for x
    x = 620,134.50/972.96
  6. Step 6: Final answer
    x = 637.37

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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.