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Finding the Fourth Proportional to 1,027.37, 1,539.75 and 588.98

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Solution

The fourth proportional to 1,027.37, 1,539.75 and 588.98 is: 882.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.37 : 1,539.75 = 588.98 : x
  2. Step 2: Convert to fraction form
    1,027.37/1,539.75 = 588.98/x
  3. Step 3: Cross multiply
    1,027.37x = 1,539.75 × 588.98
  4. Step 4: Simplify right side
    1,027.37x = 906,881.96
  5. Step 5: Solve for x
    x = 906,881.96/1,027.37
  6. Step 6: Final answer
    x = 882.72

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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.