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Finding the Fourth Proportional to 1,603.68, 2,405.54 and 433.74

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Solution

The fourth proportional to 1,603.68, 2,405.54 and 433.74 is: 650.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603.68 : 2,405.54 = 433.74 : x
  2. Step 2: Convert to fraction form
    1,603.68/2,405.54 = 433.74/x
  3. Step 3: Cross multiply
    1,603.68x = 2,405.54 × 433.74
  4. Step 4: Simplify right side
    1,603.68x = 1,043,376.75
  5. Step 5: Solve for x
    x = 1,043,376.75/1,603.68
  6. Step 6: Final answer
    x = 650.61

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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.