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Finding the Fourth Proportional to 903.64, 1,247.31 and 588.35

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Solution

The fourth proportional to 903.64, 1,247.31 and 588.35 is: 812.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.64 : 1,247.31 = 588.35 : x
  2. Step 2: Convert to fraction form
    903.64/1,247.31 = 588.35/x
  3. Step 3: Cross multiply
    903.64x = 1,247.31 × 588.35
  4. Step 4: Simplify right side
    903.64x = 733,851.90
  5. Step 5: Solve for x
    x = 733,851.90/903.64
  6. Step 6: Final answer
    x = 812.11

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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.