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Finding the Fourth Proportional to 904.86, 1,356.14 and 493.14

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Solution

The fourth proportional to 904.86, 1,356.14 and 493.14 is: 739.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.86 : 1,356.14 = 493.14 : x
  2. Step 2: Convert to fraction form
    904.86/1,356.14 = 493.14/x
  3. Step 3: Cross multiply
    904.86x = 1,356.14 × 493.14
  4. Step 4: Simplify right side
    904.86x = 668,766.88
  5. Step 5: Solve for x
    x = 668,766.88/904.86
  6. Step 6: Final answer
    x = 739.08

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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.