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Finding the Fourth Proportional to 1,157.09, 1,598.89 and 876.83

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Solution

The fourth proportional to 1,157.09, 1,598.89 and 876.83 is: 1,211.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.09 : 1,598.89 = 876.83 : x
  2. Step 2: Convert to fraction form
    1,157.09/1,598.89 = 876.83/x
  3. Step 3: Cross multiply
    1,157.09x = 1,598.89 × 876.83
  4. Step 4: Simplify right side
    1,157.09x = 1,401,946.18
  5. Step 5: Solve for x
    x = 1,401,946.18/1,157.09
  6. Step 6: Final answer
    x = 1,211.62

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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.