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Finding the Fourth Proportional to 1,325.94, 1,990.20 and 596.04

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Solution

The fourth proportional to 1,325.94, 1,990.20 and 596.04 is: 894.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,325.94 : 1,990.20 = 596.04 : x
  2. Step 2: Convert to fraction form
    1,325.94/1,990.20 = 596.04/x
  3. Step 3: Cross multiply
    1,325.94x = 1,990.20 × 596.04
  4. Step 4: Simplify right side
    1,325.94x = 1,186,238.81
  5. Step 5: Solve for x
    x = 1,186,238.81/1,325.94
  6. Step 6: Final answer
    x = 894.64

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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.