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Finding the Fourth Proportional to 974.39, 1,460.39 and 696.32

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Solution

The fourth proportional to 974.39, 1,460.39 and 696.32 is: 1,043.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.39 : 1,460.39 = 696.32 : x
  2. Step 2: Convert to fraction form
    974.39/1,460.39 = 696.32/x
  3. Step 3: Cross multiply
    974.39x = 1,460.39 × 696.32
  4. Step 4: Simplify right side
    974.39x = 1,016,904.16
  5. Step 5: Solve for x
    x = 1,016,904.16/974.39
  6. Step 6: Final answer
    x = 1,043.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.