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Finding the Fourth Proportional to 941.14, 1,409.55 and 507.25

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Solution

The fourth proportional to 941.14, 1,409.55 and 507.25 is: 759.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.14 : 1,409.55 = 507.25 : x
  2. Step 2: Convert to fraction form
    941.14/1,409.55 = 507.25/x
  3. Step 3: Cross multiply
    941.14x = 1,409.55 × 507.25
  4. Step 4: Simplify right side
    941.14x = 714,994.24
  5. Step 5: Solve for x
    x = 714,994.24/941.14
  6. Step 6: Final answer
    x = 759.71

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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.