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Finding the Fourth Proportional to 753.75, 1,130.93 and 343.08

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Solution

The fourth proportional to 753.75, 1,130.93 and 343.08 is: 514.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.75 : 1,130.93 = 343.08 : x
  2. Step 2: Convert to fraction form
    753.75/1,130.93 = 343.08/x
  3. Step 3: Cross multiply
    753.75x = 1,130.93 × 343.08
  4. Step 4: Simplify right side
    753.75x = 387,993.51
  5. Step 5: Solve for x
    x = 387,993.51/753.75
  6. Step 6: Final answer
    x = 514.75

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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.