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Finding the Fourth Proportional to 755.78, 1,043.00 and 424.23

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Solution

The fourth proportional to 755.78, 1,043.00 and 424.23 is: 585.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.78 : 1,043.00 = 424.23 : x
  2. Step 2: Convert to fraction form
    755.78/1,043.00 = 424.23/x
  3. Step 3: Cross multiply
    755.78x = 1,043.00 × 424.23
  4. Step 4: Simplify right side
    755.78x = 442,469.77
  5. Step 5: Solve for x
    x = 442,469.77/755.78
  6. Step 6: Final answer
    x = 585.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.