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Finding the Fourth Proportional to 926.24, 1,390.74 and 581.75

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Solution

The fourth proportional to 926.24, 1,390.74 and 581.75 is: 873.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.24 : 1,390.74 = 581.75 : x
  2. Step 2: Convert to fraction form
    926.24/1,390.74 = 581.75/x
  3. Step 3: Cross multiply
    926.24x = 1,390.74 × 581.75
  4. Step 4: Simplify right side
    926.24x = 809,059.08
  5. Step 5: Solve for x
    x = 809,059.08/926.24
  6. Step 6: Final answer
    x = 873.49

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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.