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Finding the Fourth Proportional to 1,023.12, 1,411.49 and 668.92

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Solution

The fourth proportional to 1,023.12, 1,411.49 and 668.92 is: 922.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.12 : 1,411.49 = 668.92 : x
  2. Step 2: Convert to fraction form
    1,023.12/1,411.49 = 668.92/x
  3. Step 3: Cross multiply
    1,023.12x = 1,411.49 × 668.92
  4. Step 4: Simplify right side
    1,023.12x = 944,173.89
  5. Step 5: Solve for x
    x = 944,173.89/1,023.12
  6. Step 6: Final answer
    x = 922.84

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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.