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Finding the Fourth Proportional to 1,288.89, 1,779.18 and 870.45

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Solution

The fourth proportional to 1,288.89, 1,779.18 and 870.45 is: 1,201.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.89 : 1,779.18 = 870.45 : x
  2. Step 2: Convert to fraction form
    1,288.89/1,779.18 = 870.45/x
  3. Step 3: Cross multiply
    1,288.89x = 1,779.18 × 870.45
  4. Step 4: Simplify right side
    1,288.89x = 1,548,687.23
  5. Step 5: Solve for x
    x = 1,548,687.23/1,288.89
  6. Step 6: Final answer
    x = 1,201.57

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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.