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Finding the Fourth Proportional to 874.94, 1,312.85 and 582.64

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Solution

The fourth proportional to 874.94, 1,312.85 and 582.64 is: 874.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.94 : 1,312.85 = 582.64 : x
  2. Step 2: Convert to fraction form
    874.94/1,312.85 = 582.64/x
  3. Step 3: Cross multiply
    874.94x = 1,312.85 × 582.64
  4. Step 4: Simplify right side
    874.94x = 764,918.92
  5. Step 5: Solve for x
    x = 764,918.92/874.94
  6. Step 6: Final answer
    x = 874.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.