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Finding the Fourth Proportional to 755.52, 1,043.28 and 476.25

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Solution

The fourth proportional to 755.52, 1,043.28 and 476.25 is: 657.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.52 : 1,043.28 = 476.25 : x
  2. Step 2: Convert to fraction form
    755.52/1,043.28 = 476.25/x
  3. Step 3: Cross multiply
    755.52x = 1,043.28 × 476.25
  4. Step 4: Simplify right side
    755.52x = 496,862.10
  5. Step 5: Solve for x
    x = 496,862.10/755.52
  6. Step 6: Final answer
    x = 657.64

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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.