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Finding the Fourth Proportional to 1,756.63, 2,634.99 and 458.11

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Solution

The fourth proportional to 1,756.63, 2,634.99 and 458.11 is: 687.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,756.63 : 2,634.99 = 458.11 : x
  2. Step 2: Convert to fraction form
    1,756.63/2,634.99 = 458.11/x
  3. Step 3: Cross multiply
    1,756.63x = 2,634.99 × 458.11
  4. Step 4: Simplify right side
    1,756.63x = 1,207,099.80
  5. Step 5: Solve for x
    x = 1,207,099.80/1,756.63
  6. Step 6: Final answer
    x = 687.17

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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.