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Finding the Fourth Proportional to 1,352.83, 1,866.84 and 873.45

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Solution

The fourth proportional to 1,352.83, 1,866.84 and 873.45 is: 1,205.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,352.83 : 1,866.84 = 873.45 : x
  2. Step 2: Convert to fraction form
    1,352.83/1,866.84 = 873.45/x
  3. Step 3: Cross multiply
    1,352.83x = 1,866.84 × 873.45
  4. Step 4: Simplify right side
    1,352.83x = 1,630,591.40
  5. Step 5: Solve for x
    x = 1,630,591.40/1,352.83
  6. Step 6: Final answer
    x = 1,205.32

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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.