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Finding the Fourth Proportional to 904.26, 1,356.06 and 557.75

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Solution

The fourth proportional to 904.26, 1,356.06 and 557.75 is: 836.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.26 : 1,356.06 = 557.75 : x
  2. Step 2: Convert to fraction form
    904.26/1,356.06 = 557.75/x
  3. Step 3: Cross multiply
    904.26x = 1,356.06 × 557.75
  4. Step 4: Simplify right side
    904.26x = 756,342.47
  5. Step 5: Solve for x
    x = 756,342.47/904.26
  6. Step 6: Final answer
    x = 836.42

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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.