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Finding the Fourth Proportional to 1,502.37, 2,253.55 and 406.70

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Solution

The fourth proportional to 1,502.37, 2,253.55 and 406.70 is: 610.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,502.37 : 2,253.55 = 406.70 : x
  2. Step 2: Convert to fraction form
    1,502.37/2,253.55 = 406.70/x
  3. Step 3: Cross multiply
    1,502.37x = 2,253.55 × 406.70
  4. Step 4: Simplify right side
    1,502.37x = 916,518.79
  5. Step 5: Solve for x
    x = 916,518.79/1,502.37
  6. Step 6: Final answer
    x = 610.05

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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.