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Finding the Fourth Proportional to 1,023.36, 1,410.14 and 968.22

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Solution

The fourth proportional to 1,023.36, 1,410.14 and 968.22 is: 1,334.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.36 : 1,410.14 = 968.22 : x
  2. Step 2: Convert to fraction form
    1,023.36/1,410.14 = 968.22/x
  3. Step 3: Cross multiply
    1,023.36x = 1,410.14 × 968.22
  4. Step 4: Simplify right side
    1,023.36x = 1,365,318.70
  5. Step 5: Solve for x
    x = 1,365,318.70/1,023.36
  6. Step 6: Final answer
    x = 1,334.15

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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.