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Finding the Fourth Proportional to 1,558.64, 2,336.68 and 584.24

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Solution

The fourth proportional to 1,558.64, 2,336.68 and 584.24 is: 875.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,558.64 : 2,336.68 = 584.24 : x
  2. Step 2: Convert to fraction form
    1,558.64/2,336.68 = 584.24/x
  3. Step 3: Cross multiply
    1,558.64x = 2,336.68 × 584.24
  4. Step 4: Simplify right side
    1,558.64x = 1,365,181.92
  5. Step 5: Solve for x
    x = 1,365,181.92/1,558.64
  6. Step 6: Final answer
    x = 875.88

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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.