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Finding the Fourth Proportional to 1,602.57, 2,403.83 and 416.61

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Solution

The fourth proportional to 1,602.57, 2,403.83 and 416.61 is: 624.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.57 : 2,403.83 = 416.61 : x
  2. Step 2: Convert to fraction form
    1,602.57/2,403.83 = 416.61/x
  3. Step 3: Cross multiply
    1,602.57x = 2,403.83 × 416.61
  4. Step 4: Simplify right side
    1,602.57x = 1,001,459.62
  5. Step 5: Solve for x
    x = 1,001,459.62/1,602.57
  6. Step 6: Final answer
    x = 624.91

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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.