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Finding the Fourth Proportional to 1,511.15, 2,265.65 and 585.93

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Solution

The fourth proportional to 1,511.15, 2,265.65 and 585.93 is: 878.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,511.15 : 2,265.65 = 585.93 : x
  2. Step 2: Convert to fraction form
    1,511.15/2,265.65 = 585.93/x
  3. Step 3: Cross multiply
    1,511.15x = 2,265.65 × 585.93
  4. Step 4: Simplify right side
    1,511.15x = 1,327,512.30
  5. Step 5: Solve for x
    x = 1,327,512.30/1,511.15
  6. Step 6: Final answer
    x = 878.48

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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.