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Finding the Fourth Proportional to 903.32, 1,353.24 and 594.23

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Solution

The fourth proportional to 903.32, 1,353.24 and 594.23 is: 890.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.32 : 1,353.24 = 594.23 : x
  2. Step 2: Convert to fraction form
    903.32/1,353.24 = 594.23/x
  3. Step 3: Cross multiply
    903.32x = 1,353.24 × 594.23
  4. Step 4: Simplify right side
    903.32x = 804,135.81
  5. Step 5: Solve for x
    x = 804,135.81/903.32
  6. Step 6: Final answer
    x = 890.20

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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.