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Finding the Fourth Proportional to 1,502.55, 2,253.54 and 406.77

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Solution

The fourth proportional to 1,502.55, 2,253.54 and 406.77 is: 610.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,502.55 : 2,253.54 = 406.77 : x
  2. Step 2: Convert to fraction form
    1,502.55/2,253.54 = 406.77/x
  3. Step 3: Cross multiply
    1,502.55x = 2,253.54 × 406.77
  4. Step 4: Simplify right side
    1,502.55x = 916,673.48
  5. Step 5: Solve for x
    x = 916,673.48/1,502.55
  6. Step 6: Final answer
    x = 610.08

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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.