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Finding the Fourth Proportional to 904.86, 1,249.34 and 568.91

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Solution

The fourth proportional to 904.86, 1,249.34 and 568.91 is: 785.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.86 : 1,249.34 = 568.91 : x
  2. Step 2: Convert to fraction form
    904.86/1,249.34 = 568.91/x
  3. Step 3: Cross multiply
    904.86x = 1,249.34 × 568.91
  4. Step 4: Simplify right side
    904.86x = 710,762.30
  5. Step 5: Solve for x
    x = 710,762.30/904.86
  6. Step 6: Final answer
    x = 785.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.