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Finding the Fourth Proportional to 1,026.60, 1,539.56 and 564.60

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Solution

The fourth proportional to 1,026.60, 1,539.56 and 564.60 is: 846.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.60 : 1,539.56 = 564.60 : x
  2. Step 2: Convert to fraction form
    1,026.60/1,539.56 = 564.60/x
  3. Step 3: Cross multiply
    1,026.60x = 1,539.56 × 564.60
  4. Step 4: Simplify right side
    1,026.60x = 869,226.59
  5. Step 5: Solve for x
    x = 869,226.59/1,026.60
  6. Step 6: Final answer
    x = 846.71

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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.