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Finding the Fourth Proportional to 1,509.96, 2,265.32 and 585.27

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Solution

The fourth proportional to 1,509.96, 2,265.32 and 585.27 is: 878.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.96 : 2,265.32 = 585.27 : x
  2. Step 2: Convert to fraction form
    1,509.96/2,265.32 = 585.27/x
  3. Step 3: Cross multiply
    1,509.96x = 2,265.32 × 585.27
  4. Step 4: Simplify right side
    1,509.96x = 1,325,823.84
  5. Step 5: Solve for x
    x = 1,325,823.84/1,509.96
  6. Step 6: Final answer
    x = 878.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.