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Finding the Fourth Proportional to 1,509.75, 2,264.86 and 585.34

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Solution

The fourth proportional to 1,509.75, 2,264.86 and 585.34 is: 878.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.75 : 2,264.86 = 585.34 : x
  2. Step 2: Convert to fraction form
    1,509.75/2,264.86 = 585.34/x
  3. Step 3: Cross multiply
    1,509.75x = 2,264.86 × 585.34
  4. Step 4: Simplify right side
    1,509.75x = 1,325,713.15
  5. Step 5: Solve for x
    x = 1,325,713.15/1,509.75
  6. Step 6: Final answer
    x = 878.10

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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.