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Finding the Fourth Proportional to 903.79, 1,354.47 and 659.17

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Solution

The fourth proportional to 903.79, 1,354.47 and 659.17 is: 987.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.79 : 1,354.47 = 659.17 : x
  2. Step 2: Convert to fraction form
    903.79/1,354.47 = 659.17/x
  3. Step 3: Cross multiply
    903.79x = 1,354.47 × 659.17
  4. Step 4: Simplify right side
    903.79x = 892,825.99
  5. Step 5: Solve for x
    x = 892,825.99/903.79
  6. Step 6: Final answer
    x = 987.87

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