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Finding the Fourth Proportional to 904.77, 1,248.60 and 506.42

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Solution

The fourth proportional to 904.77, 1,248.60 and 506.42 is: 698.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.77 : 1,248.60 = 506.42 : x
  2. Step 2: Convert to fraction form
    904.77/1,248.60 = 506.42/x
  3. Step 3: Cross multiply
    904.77x = 1,248.60 × 506.42
  4. Step 4: Simplify right side
    904.77x = 632,309.77
  5. Step 5: Solve for x
    x = 632,309.77/904.77
  6. Step 6: Final answer
    x = 698.87

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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.