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Finding the Fourth Proportional to 753.24, 1,130.10 and 411

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Solution

The fourth proportional to 753.24, 1,130.10 and 411 is: 616.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.24 : 1,130.10 = 411 : x
  2. Step 2: Convert to fraction form
    753.24/1,130.10 = 411/x
  3. Step 3: Cross multiply
    753.24x = 1,130.10 × 411
  4. Step 4: Simplify right side
    753.24x = 464,471.10
  5. Step 5: Solve for x
    x = 464,471.10/753.24
  6. Step 6: Final answer
    x = 616.63

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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.