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Finding the Fourth Proportional to 1,115.70, 1,670.35 and 683.70

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Solution

The fourth proportional to 1,115.70, 1,670.35 and 683.70 is: 1,023.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,115.70 : 1,670.35 = 683.70 : x
  2. Step 2: Convert to fraction form
    1,115.70/1,670.35 = 683.70/x
  3. Step 3: Cross multiply
    1,115.70x = 1,670.35 × 683.70
  4. Step 4: Simplify right side
    1,115.70x = 1,142,018.30
  5. Step 5: Solve for x
    x = 1,142,018.30/1,115.70
  6. Step 6: Final answer
    x = 1,023.59

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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.