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Finding the Fourth Proportional to 1,018.52, 1,528.56 and 585.96

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Solution

The fourth proportional to 1,018.52, 1,528.56 and 585.96 is: 879.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.52 : 1,528.56 = 585.96 : x
  2. Step 2: Convert to fraction form
    1,018.52/1,528.56 = 585.96/x
  3. Step 3: Cross multiply
    1,018.52x = 1,528.56 × 585.96
  4. Step 4: Simplify right side
    1,018.52x = 895,675.02
  5. Step 5: Solve for x
    x = 895,675.02/1,018.52
  6. Step 6: Final answer
    x = 879.39

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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.