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Finding the Fourth Proportional to 984.99, 1,477.07 and 522.68

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Solution

The fourth proportional to 984.99, 1,477.07 and 522.68 is: 783.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.99 : 1,477.07 = 522.68 : x
  2. Step 2: Convert to fraction form
    984.99/1,477.07 = 522.68/x
  3. Step 3: Cross multiply
    984.99x = 1,477.07 × 522.68
  4. Step 4: Simplify right side
    984.99x = 772,024.95
  5. Step 5: Solve for x
    x = 772,024.95/984.99
  6. Step 6: Final answer
    x = 783.79

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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.