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Finding the Fourth Proportional to 1,504.64, 2,253.64 and 733.52

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Solution

The fourth proportional to 1,504.64, 2,253.64 and 733.52 is: 1,098.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,504.64 : 2,253.64 = 733.52 : x
  2. Step 2: Convert to fraction form
    1,504.64/2,253.64 = 733.52/x
  3. Step 3: Cross multiply
    1,504.64x = 2,253.64 × 733.52
  4. Step 4: Simplify right side
    1,504.64x = 1,653,090.01
  5. Step 5: Solve for x
    x = 1,653,090.01/1,504.64
  6. Step 6: Final answer
    x = 1,098.66

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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.