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Finding the Fourth Proportional to 890.64, 1,334.46 and 582.04

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Solution

The fourth proportional to 890.64, 1,334.46 and 582.04 is: 872.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.64 : 1,334.46 = 582.04 : x
  2. Step 2: Convert to fraction form
    890.64/1,334.46 = 582.04/x
  3. Step 3: Cross multiply
    890.64x = 1,334.46 × 582.04
  4. Step 4: Simplify right side
    890.64x = 776,709.10
  5. Step 5: Solve for x
    x = 776,709.10/890.64
  6. Step 6: Final answer
    x = 872.08

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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.