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Finding the Fourth Proportional to 1,227.51, 1,840.59 and 577.89

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Solution

The fourth proportional to 1,227.51, 1,840.59 and 577.89 is: 866.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.51 : 1,840.59 = 577.89 : x
  2. Step 2: Convert to fraction form
    1,227.51/1,840.59 = 577.89/x
  3. Step 3: Cross multiply
    1,227.51x = 1,840.59 × 577.89
  4. Step 4: Simplify right side
    1,227.51x = 1,063,658.56
  5. Step 5: Solve for x
    x = 1,063,658.56/1,227.51
  6. Step 6: Final answer
    x = 866.52

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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.