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Finding the Fourth Proportional to 1,511.65, 2,267.41 and 471.74

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Solution

The fourth proportional to 1,511.65, 2,267.41 and 471.74 is: 707.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,511.65 : 2,267.41 = 471.74 : x
  2. Step 2: Convert to fraction form
    1,511.65/2,267.41 = 471.74/x
  3. Step 3: Cross multiply
    1,511.65x = 2,267.41 × 471.74
  4. Step 4: Simplify right side
    1,511.65x = 1,069,627.99
  5. Step 5: Solve for x
    x = 1,069,627.99/1,511.65
  6. Step 6: Final answer
    x = 707.59

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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.