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Finding the Fourth Proportional to 958.05, 1,322.34 and 585.35

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Solution

The fourth proportional to 958.05, 1,322.34 and 585.35 is: 807.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.05 : 1,322.34 = 585.35 : x
  2. Step 2: Convert to fraction form
    958.05/1,322.34 = 585.35/x
  3. Step 3: Cross multiply
    958.05x = 1,322.34 × 585.35
  4. Step 4: Simplify right side
    958.05x = 774,025.11
  5. Step 5: Solve for x
    x = 774,025.11/958.05
  6. Step 6: Final answer
    x = 807.91

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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.