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Finding the Fourth Proportional to 761.64, 1,142.54 and 299.46

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Solution

The fourth proportional to 761.64, 1,142.54 and 299.46 is: 449.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.64 : 1,142.54 = 299.46 : x
  2. Step 2: Convert to fraction form
    761.64/1,142.54 = 299.46/x
  3. Step 3: Cross multiply
    761.64x = 1,142.54 × 299.46
  4. Step 4: Simplify right side
    761.64x = 342,145.03
  5. Step 5: Solve for x
    x = 342,145.03/761.64
  6. Step 6: Final answer
    x = 449.22

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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.