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Finding the Fourth Proportional to 956.24, 1,319.58 and 583.09

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Solution

The fourth proportional to 956.24, 1,319.58 and 583.09 is: 804.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.24 : 1,319.58 = 583.09 : x
  2. Step 2: Convert to fraction form
    956.24/1,319.58 = 583.09/x
  3. Step 3: Cross multiply
    956.24x = 1,319.58 × 583.09
  4. Step 4: Simplify right side
    956.24x = 769,428.76
  5. Step 5: Solve for x
    x = 769,428.76/956.24
  6. Step 6: Final answer
    x = 804.64

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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.