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Finding the Fourth Proportional to 877.95, 1,211.70 and 785.19

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Solution

The fourth proportional to 877.95, 1,211.70 and 785.19 is: 1,083.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.95 : 1,211.70 = 785.19 : x
  2. Step 2: Convert to fraction form
    877.95/1,211.70 = 785.19/x
  3. Step 3: Cross multiply
    877.95x = 1,211.70 × 785.19
  4. Step 4: Simplify right side
    877.95x = 951,414.72
  5. Step 5: Solve for x
    x = 951,414.72/877.95
  6. Step 6: Final answer
    x = 1,083.68

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Why These Related Problems?

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