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Finding the Fourth Proportional to 683.82, 943.47 and 389.07

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Solution

The fourth proportional to 683.82, 943.47 and 389.07 is: 536.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.82 : 943.47 = 389.07 : x
  2. Step 2: Convert to fraction form
    683.82/943.47 = 389.07/x
  3. Step 3: Cross multiply
    683.82x = 943.47 × 389.07
  4. Step 4: Simplify right side
    683.82x = 367,075.87
  5. Step 5: Solve for x
    x = 367,075.87/683.82
  6. Step 6: Final answer
    x = 536.80

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1.5x scale

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.