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Finding the Fourth Proportional to 761.52, 1,142.58 and 396.06

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Solution

The fourth proportional to 761.52, 1,142.58 and 396.06 is: 594.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.52 : 1,142.58 = 396.06 : x
  2. Step 2: Convert to fraction form
    761.52/1,142.58 = 396.06/x
  3. Step 3: Cross multiply
    761.52x = 1,142.58 × 396.06
  4. Step 4: Simplify right side
    761.52x = 452,530.23
  5. Step 5: Solve for x
    x = 452,530.23/761.52
  6. Step 6: Final answer
    x = 594.25

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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.