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Finding the Fourth Proportional to 761.99, 1,142.01 and 468.54

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Solution

The fourth proportional to 761.99, 1,142.01 and 468.54 is: 702.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.99 : 1,142.01 = 468.54 : x
  2. Step 2: Convert to fraction form
    761.99/1,142.01 = 468.54/x
  3. Step 3: Cross multiply
    761.99x = 1,142.01 × 468.54
  4. Step 4: Simplify right side
    761.99x = 535,077.37
  5. Step 5: Solve for x
    x = 535,077.37/761.99
  6. Step 6: Final answer
    x = 702.22

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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.