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Finding the Fourth Proportional to 1,267.70, 1,900.77 and 711.53

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Solution

The fourth proportional to 1,267.70, 1,900.77 and 711.53 is: 1,066.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267.70 : 1,900.77 = 711.53 : x
  2. Step 2: Convert to fraction form
    1,267.70/1,900.77 = 711.53/x
  3. Step 3: Cross multiply
    1,267.70x = 1,900.77 × 711.53
  4. Step 4: Simplify right side
    1,267.70x = 1,352,460.53
  5. Step 5: Solve for x
    x = 1,352,460.53/1,267.70
  6. Step 6: Final answer
    x = 1,066.86

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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.