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Finding the Fourth Proportional to 1,106.32, 1,652.60 and 818.32

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Solution

The fourth proportional to 1,106.32, 1,652.60 and 818.32 is: 1,222.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.32 : 1,652.60 = 818.32 : x
  2. Step 2: Convert to fraction form
    1,106.32/1,652.60 = 818.32/x
  3. Step 3: Cross multiply
    1,106.32x = 1,652.60 × 818.32
  4. Step 4: Simplify right side
    1,106.32x = 1,352,355.63
  5. Step 5: Solve for x
    x = 1,352,355.63/1,106.32
  6. Step 6: Final answer
    x = 1,222.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.