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Finding the Fourth Proportional to 1,435.46, 2,152.39 and 557.41

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Solution

The fourth proportional to 1,435.46, 2,152.39 and 557.41 is: 835.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435.46 : 2,152.39 = 557.41 : x
  2. Step 2: Convert to fraction form
    1,435.46/2,152.39 = 557.41/x
  3. Step 3: Cross multiply
    1,435.46x = 2,152.39 × 557.41
  4. Step 4: Simplify right side
    1,435.46x = 1,199,765.01
  5. Step 5: Solve for x
    x = 1,199,765.01/1,435.46
  6. Step 6: Final answer
    x = 835.81

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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.