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Finding the Fourth Proportional to 994, 1,490.32 and 903.56

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Solution

The fourth proportional to 994, 1,490.32 and 903.56 is: 1,354.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    994 : 1,490.32 = 903.56 : x
  2. Step 2: Convert to fraction form
    994/1,490.32 = 903.56/x
  3. Step 3: Cross multiply
    994x = 1,490.32 × 903.56
  4. Step 4: Simplify right side
    994x = 1,346,593.54
  5. Step 5: Solve for x
    x = 1,346,593.54/994
  6. Step 6: Final answer
    x = 1,354.72

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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.