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Finding the Fourth Proportional to 1,513.85, 2,088.87 and 850.57

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Solution

The fourth proportional to 1,513.85, 2,088.87 and 850.57 is: 1,173.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,513.85 : 2,088.87 = 850.57 : x
  2. Step 2: Convert to fraction form
    1,513.85/2,088.87 = 850.57/x
  3. Step 3: Cross multiply
    1,513.85x = 2,088.87 × 850.57
  4. Step 4: Simplify right side
    1,513.85x = 1,776,721.74
  5. Step 5: Solve for x
    x = 1,776,721.74/1,513.85
  6. Step 6: Final answer
    x = 1,173.65

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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.