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Finding the Fourth Proportional to 903.64, 1,352.90 and 594.57

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Solution

The fourth proportional to 903.64, 1,352.90 and 594.57 is: 890.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.64 : 1,352.90 = 594.57 : x
  2. Step 2: Convert to fraction form
    903.64/1,352.90 = 594.57/x
  3. Step 3: Cross multiply
    903.64x = 1,352.90 × 594.57
  4. Step 4: Simplify right side
    903.64x = 804,388.90
  5. Step 5: Solve for x
    x = 804,388.90/903.64
  6. Step 6: Final answer
    x = 890.16

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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.