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Finding the Fourth Proportional to 903.71, 1,353.46 and 659.63

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Solution

The fourth proportional to 903.71, 1,353.46 and 659.63 is: 987.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.71 : 1,353.46 = 659.63 : x
  2. Step 2: Convert to fraction form
    903.71/1,353.46 = 659.63/x
  3. Step 3: Cross multiply
    903.71x = 1,353.46 × 659.63
  4. Step 4: Simplify right side
    903.71x = 892,782.82
  5. Step 5: Solve for x
    x = 892,782.82/903.71
  6. Step 6: Final answer
    x = 987.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.