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Finding the Fourth Proportional to 755.76, 1,042.56 and 476.32

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Solution

The fourth proportional to 755.76, 1,042.56 and 476.32 is: 657.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.76 : 1,042.56 = 476.32 : x
  2. Step 2: Convert to fraction form
    755.76/1,042.56 = 476.32/x
  3. Step 3: Cross multiply
    755.76x = 1,042.56 × 476.32
  4. Step 4: Simplify right side
    755.76x = 496,592.18
  5. Step 5: Solve for x
    x = 496,592.18/755.76
  6. Step 6: Final answer
    x = 657.08

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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.