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Finding the Fourth Proportional to 1,442.67, 1,989.94 and 852.86

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Solution

The fourth proportional to 1,442.67, 1,989.94 and 852.86 is: 1,176.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.67 : 1,989.94 = 852.86 : x
  2. Step 2: Convert to fraction form
    1,442.67/1,989.94 = 852.86/x
  3. Step 3: Cross multiply
    1,442.67x = 1,989.94 × 852.86
  4. Step 4: Simplify right side
    1,442.67x = 1,697,140.23
  5. Step 5: Solve for x
    x = 1,697,140.23/1,442.67
  6. Step 6: Final answer
    x = 1,176.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.