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Finding the Fourth Proportional to 1,267.02, 1,747.72 and 841.67

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Solution

The fourth proportional to 1,267.02, 1,747.72 and 841.67 is: 1,160.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267.02 : 1,747.72 = 841.67 : x
  2. Step 2: Convert to fraction form
    1,267.02/1,747.72 = 841.67/x
  3. Step 3: Cross multiply
    1,267.02x = 1,747.72 × 841.67
  4. Step 4: Simplify right side
    1,267.02x = 1,470,999.28
  5. Step 5: Solve for x
    x = 1,470,999.28/1,267.02
  6. Step 6: Final answer
    x = 1,160.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.