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Finding the Fourth Proportional to 914.99, 1,262.66 and 522.14

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Solution

The fourth proportional to 914.99, 1,262.66 and 522.14 is: 720.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.99 : 1,262.66 = 522.14 : x
  2. Step 2: Convert to fraction form
    914.99/1,262.66 = 522.14/x
  3. Step 3: Cross multiply
    914.99x = 1,262.66 × 522.14
  4. Step 4: Simplify right side
    914.99x = 659,276.37
  5. Step 5: Solve for x
    x = 659,276.37/914.99
  6. Step 6: Final answer
    x = 720.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.