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Finding the Fourth Proportional to 974.60, 1,460.42 and 730.98

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Solution

The fourth proportional to 974.60, 1,460.42 and 730.98 is: 1,095.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.60 : 1,460.42 = 730.98 : x
  2. Step 2: Convert to fraction form
    974.60/1,460.42 = 730.98/x
  3. Step 3: Cross multiply
    974.60x = 1,460.42 × 730.98
  4. Step 4: Simplify right side
    974.60x = 1,067,537.81
  5. Step 5: Solve for x
    x = 1,067,537.81/974.60
  6. Step 6: Final answer
    x = 1,095.36

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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.