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Finding the Fourth Proportional to 904.36, 1,356.53 and 539.86

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Solution

The fourth proportional to 904.36, 1,356.53 and 539.86 is: 809.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.36 : 1,356.53 = 539.86 : x
  2. Step 2: Convert to fraction form
    904.36/1,356.53 = 539.86/x
  3. Step 3: Cross multiply
    904.36x = 1,356.53 × 539.86
  4. Step 4: Simplify right side
    904.36x = 732,334.24
  5. Step 5: Solve for x
    x = 732,334.24/904.36
  6. Step 6: Final answer
    x = 809.78

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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.