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Finding the Fourth Proportional to 941.92, 1,410.38 and 507.76

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Solution

The fourth proportional to 941.92, 1,410.38 and 507.76 is: 760.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.92 : 1,410.38 = 507.76 : x
  2. Step 2: Convert to fraction form
    941.92/1,410.38 = 507.76/x
  3. Step 3: Cross multiply
    941.92x = 1,410.38 × 507.76
  4. Step 4: Simplify right side
    941.92x = 716,134.55
  5. Step 5: Solve for x
    x = 716,134.55/941.92
  6. Step 6: Final answer
    x = 760.29

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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.