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Finding the Fourth Proportional to 1,532.63, 2,299.86 and 558.81

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Solution

The fourth proportional to 1,532.63, 2,299.86 and 558.81 is: 838.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532.63 : 2,299.86 = 558.81 : x
  2. Step 2: Convert to fraction form
    1,532.63/2,299.86 = 558.81/x
  3. Step 3: Cross multiply
    1,532.63x = 2,299.86 × 558.81
  4. Step 4: Simplify right side
    1,532.63x = 1,285,184.77
  5. Step 5: Solve for x
    x = 1,285,184.77/1,532.63
  6. Step 6: Final answer
    x = 838.55

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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.