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Finding the Fourth Proportional to 973.92, 1,458.81 and 906.49

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Solution

The fourth proportional to 973.92, 1,458.81 and 906.49 is: 1,357.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.92 : 1,458.81 = 906.49 : x
  2. Step 2: Convert to fraction form
    973.92/1,458.81 = 906.49/x
  3. Step 3: Cross multiply
    973.92x = 1,458.81 × 906.49
  4. Step 4: Simplify right side
    973.92x = 1,322,398.50
  5. Step 5: Solve for x
    x = 1,322,398.50/973.92
  6. Step 6: Final answer
    x = 1,357.80

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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.