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Finding the Fourth Proportional to 971.92, 1,457.34 and 509.92

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Solution

The fourth proportional to 971.92, 1,457.34 and 509.92 is: 764.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.92 : 1,457.34 = 509.92 : x
  2. Step 2: Convert to fraction form
    971.92/1,457.34 = 509.92/x
  3. Step 3: Cross multiply
    971.92x = 1,457.34 × 509.92
  4. Step 4: Simplify right side
    971.92x = 743,126.81
  5. Step 5: Solve for x
    x = 743,126.81/971.92
  6. Step 6: Final answer
    x = 764.60

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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.