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Finding the Fourth Proportional to 964.36, 1,322.14 and 946.86

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Solution

The fourth proportional to 964.36, 1,322.14 and 946.86 is: 1,298.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.36 : 1,322.14 = 946.86 : x
  2. Step 2: Convert to fraction form
    964.36/1,322.14 = 946.86/x
  3. Step 3: Cross multiply
    964.36x = 1,322.14 × 946.86
  4. Step 4: Simplify right side
    964.36x = 1,251,881.48
  5. Step 5: Solve for x
    x = 1,251,881.48/964.36
  6. Step 6: Final answer
    x = 1,298.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.