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Finding the Fourth Proportional to 1,558.06, 2,336.91 and 632.68

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Solution

The fourth proportional to 1,558.06, 2,336.91 and 632.68 is: 948.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,558.06 : 2,336.91 = 632.68 : x
  2. Step 2: Convert to fraction form
    1,558.06/2,336.91 = 632.68/x
  3. Step 3: Cross multiply
    1,558.06x = 2,336.91 × 632.68
  4. Step 4: Simplify right side
    1,558.06x = 1,478,516.22
  5. Step 5: Solve for x
    x = 1,478,516.22/1,558.06
  6. Step 6: Final answer
    x = 948.95

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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.