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Finding the Fourth Proportional to 1,062.37, 1,466.57 and 708.88

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Solution

The fourth proportional to 1,062.37, 1,466.57 and 708.88 is: 978.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.37 : 1,466.57 = 708.88 : x
  2. Step 2: Convert to fraction form
    1,062.37/1,466.57 = 708.88/x
  3. Step 3: Cross multiply
    1,062.37x = 1,466.57 × 708.88
  4. Step 4: Simplify right side
    1,062.37x = 1,039,622.14
  5. Step 5: Solve for x
    x = 1,039,622.14/1,062.37
  6. Step 6: Final answer
    x = 978.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.