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Finding the Fourth Proportional to 1,502.01, 2,253.11 and 577.44

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Solution

The fourth proportional to 1,502.01, 2,253.11 and 577.44 is: 866.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,502.01 : 2,253.11 = 577.44 : x
  2. Step 2: Convert to fraction form
    1,502.01/2,253.11 = 577.44/x
  3. Step 3: Cross multiply
    1,502.01x = 2,253.11 × 577.44
  4. Step 4: Simplify right side
    1,502.01x = 1,301,032.95
  5. Step 5: Solve for x
    x = 1,301,032.95/1,502.01
  6. Step 6: Final answer
    x = 866.19

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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.