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Finding the Fourth Proportional to 922.56, 1,271.58 and 689.28

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Solution

The fourth proportional to 922.56, 1,271.58 and 689.28 is: 950.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.56 : 1,271.58 = 689.28 : x
  2. Step 2: Convert to fraction form
    922.56/1,271.58 = 689.28/x
  3. Step 3: Cross multiply
    922.56x = 1,271.58 × 689.28
  4. Step 4: Simplify right side
    922.56x = 876,474.66
  5. Step 5: Solve for x
    x = 876,474.66/922.56
  6. Step 6: Final answer
    x = 950.05

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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.