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Finding the Fourth Proportional to 883.36, 1,322.34 and 709.24

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Solution

The fourth proportional to 883.36, 1,322.34 and 709.24 is: 1,061.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.36 : 1,322.34 = 709.24 : x
  2. Step 2: Convert to fraction form
    883.36/1,322.34 = 709.24/x
  3. Step 3: Cross multiply
    883.36x = 1,322.34 × 709.24
  4. Step 4: Simplify right side
    883.36x = 937,856.42
  5. Step 5: Solve for x
    x = 937,856.42/883.36
  6. Step 6: Final answer
    x = 1,061.69

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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.