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Finding the Fourth Proportional to 904.47, 1,246.71 and 609.22

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Solution

The fourth proportional to 904.47, 1,246.71 and 609.22 is: 839.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.47 : 1,246.71 = 609.22 : x
  2. Step 2: Convert to fraction form
    904.47/1,246.71 = 609.22/x
  3. Step 3: Cross multiply
    904.47x = 1,246.71 × 609.22
  4. Step 4: Simplify right side
    904.47x = 759,521.08
  5. Step 5: Solve for x
    x = 759,521.08/904.47
  6. Step 6: Final answer
    x = 839.75

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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.