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Finding the Fourth Proportional to 1,023.38, 1,410.65 and 668.67

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Solution

The fourth proportional to 1,023.38, 1,410.65 and 668.67 is: 921.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.38 : 1,410.65 = 668.67 : x
  2. Step 2: Convert to fraction form
    1,023.38/1,410.65 = 668.67/x
  3. Step 3: Cross multiply
    1,023.38x = 1,410.65 × 668.67
  4. Step 4: Simplify right side
    1,023.38x = 943,255.99
  5. Step 5: Solve for x
    x = 943,255.99/1,023.38
  6. Step 6: Final answer
    x = 921.71

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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.