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Finding the Fourth Proportional to 922.16, 1,269.44 and 700.56

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Solution

The fourth proportional to 922.16, 1,269.44 and 700.56 is: 964.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.16 : 1,269.44 = 700.56 : x
  2. Step 2: Convert to fraction form
    922.16/1,269.44 = 700.56/x
  3. Step 3: Cross multiply
    922.16x = 1,269.44 × 700.56
  4. Step 4: Simplify right side
    922.16x = 889,318.89
  5. Step 5: Solve for x
    x = 889,318.89/922.16
  6. Step 6: Final answer
    x = 964.39

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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.