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Finding the Fourth Proportional to 1,164.16, 1,754.96 and 973

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Solution

The fourth proportional to 1,164.16, 1,754.96 and 973 is: 1,466.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.16 : 1,754.96 = 973 : x
  2. Step 2: Convert to fraction form
    1,164.16/1,754.96 = 973/x
  3. Step 3: Cross multiply
    1,164.16x = 1,754.96 × 973
  4. Step 4: Simplify right side
    1,164.16x = 1,707,576.08
  5. Step 5: Solve for x
    x = 1,707,576.08/1,164.16
  6. Step 6: Final answer
    x = 1,466.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.