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Finding the Fourth Proportional to 1,181.63, 1,780.33 and 1,070.59

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Solution

The fourth proportional to 1,181.63, 1,780.33 and 1,070.59 is: 1,613.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181.63 : 1,780.33 = 1,070.59 : x
  2. Step 2: Convert to fraction form
    1,181.63/1,780.33 = 1,070.59/x
  3. Step 3: Cross multiply
    1,181.63x = 1,780.33 × 1,070.59
  4. Step 4: Simplify right side
    1,181.63x = 1,905,989.24
  5. Step 5: Solve for x
    x = 1,905,989.24/1,181.63
  6. Step 6: Final answer
    x = 1,613.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.