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Finding the Fourth Proportional to 972.92, 1,457.01 and 511.09

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Solution

The fourth proportional to 972.92, 1,457.01 and 511.09 is: 765.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.92 : 1,457.01 = 511.09 : x
  2. Step 2: Convert to fraction form
    972.92/1,457.01 = 511.09/x
  3. Step 3: Cross multiply
    972.92x = 1,457.01 × 511.09
  4. Step 4: Simplify right side
    972.92x = 744,659.60
  5. Step 5: Solve for x
    x = 744,659.60/972.92
  6. Step 6: Final answer
    x = 765.38

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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.