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Finding the Fourth Proportional to 958.90, 1,322.63 and 585.40

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Solution

The fourth proportional to 958.90, 1,322.63 and 585.40 is: 807.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.90 : 1,322.63 = 585.40 : x
  2. Step 2: Convert to fraction form
    958.90/1,322.63 = 585.40/x
  3. Step 3: Cross multiply
    958.90x = 1,322.63 × 585.40
  4. Step 4: Simplify right side
    958.90x = 774,263.56
  5. Step 5: Solve for x
    x = 774,263.56/958.90
  6. Step 6: Final answer
    x = 807.45

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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.