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Finding the Fourth Proportional to 761.61, 1,141.66 and 299.05

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Solution

The fourth proportional to 761.61, 1,141.66 and 299.05 is: 448.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.61 : 1,141.66 = 299.05 : x
  2. Step 2: Convert to fraction form
    761.61/1,141.66 = 299.05/x
  3. Step 3: Cross multiply
    761.61x = 1,141.66 × 299.05
  4. Step 4: Simplify right side
    761.61x = 341,411.93
  5. Step 5: Solve for x
    x = 341,411.93/761.61
  6. Step 6: Final answer
    x = 448.28

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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.