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Finding the Fourth Proportional to 904.57, 1,248.41 and 573.14

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Solution

The fourth proportional to 904.57, 1,248.41 and 573.14 is: 791.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.57 : 1,248.41 = 573.14 : x
  2. Step 2: Convert to fraction form
    904.57/1,248.41 = 573.14/x
  3. Step 3: Cross multiply
    904.57x = 1,248.41 × 573.14
  4. Step 4: Simplify right side
    904.57x = 715,518.26
  5. Step 5: Solve for x
    x = 715,518.26/904.57
  6. Step 6: Final answer
    x = 791.01

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Why These Related Problems?

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