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Finding the Fourth Proportional to 973.56, 1,458.14 and 682.36

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Solution

The fourth proportional to 973.56, 1,458.14 and 682.36 is: 1,022.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.56 : 1,458.14 = 682.36 : x
  2. Step 2: Convert to fraction form
    973.56/1,458.14 = 682.36/x
  3. Step 3: Cross multiply
    973.56x = 1,458.14 × 682.36
  4. Step 4: Simplify right side
    973.56x = 994,977.72
  5. Step 5: Solve for x
    x = 994,977.72/973.56
  6. Step 6: Final answer
    x = 1,022.00

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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.