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Finding the Fourth Proportional to 903.58, 1,246.97 and 589.05

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Solution

The fourth proportional to 903.58, 1,246.97 and 589.05 is: 812.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.58 : 1,246.97 = 589.05 : x
  2. Step 2: Convert to fraction form
    903.58/1,246.97 = 589.05/x
  3. Step 3: Cross multiply
    903.58x = 1,246.97 × 589.05
  4. Step 4: Simplify right side
    903.58x = 734,523.99
  5. Step 5: Solve for x
    x = 734,523.99/903.58
  6. Step 6: Final answer
    x = 812.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.