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Finding the Fourth Proportional to 1,385.10, 2,077.65 and 690.73

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Solution

The fourth proportional to 1,385.10, 2,077.65 and 690.73 is: 1,036.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385.10 : 2,077.65 = 690.73 : x
  2. Step 2: Convert to fraction form
    1,385.10/2,077.65 = 690.73/x
  3. Step 3: Cross multiply
    1,385.10x = 2,077.65 × 690.73
  4. Step 4: Simplify right side
    1,385.10x = 1,435,089.99
  5. Step 5: Solve for x
    x = 1,435,089.99/1,385.10
  6. Step 6: Final answer
    x = 1,036.09

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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.