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Finding the Fourth Proportional to 1,511.76, 2,267.61 and 690.27

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Solution

The fourth proportional to 1,511.76, 2,267.61 and 690.27 is: 1,035.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,511.76 : 2,267.61 = 690.27 : x
  2. Step 2: Convert to fraction form
    1,511.76/2,267.61 = 690.27/x
  3. Step 3: Cross multiply
    1,511.76x = 2,267.61 × 690.27
  4. Step 4: Simplify right side
    1,511.76x = 1,565,263.15
  5. Step 5: Solve for x
    x = 1,565,263.15/1,511.76
  6. Step 6: Final answer
    x = 1,035.39

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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.