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Finding the Fourth Proportional to 1,609.99, 2,415.23 and 514.68

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Solution

The fourth proportional to 1,609.99, 2,415.23 and 514.68 is: 772.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.99 : 2,415.23 = 514.68 : x
  2. Step 2: Convert to fraction form
    1,609.99/2,415.23 = 514.68/x
  3. Step 3: Cross multiply
    1,609.99x = 2,415.23 × 514.68
  4. Step 4: Simplify right side
    1,609.99x = 1,243,070.58
  5. Step 5: Solve for x
    x = 1,243,070.58/1,609.99
  6. Step 6: Final answer
    x = 772.10

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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.