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Finding the Fourth Proportional to 1,271.19, 1,905.18 and 577.65

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Solution

The fourth proportional to 1,271.19, 1,905.18 and 577.65 is: 865.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271.19 : 1,905.18 = 577.65 : x
  2. Step 2: Convert to fraction form
    1,271.19/1,905.18 = 577.65/x
  3. Step 3: Cross multiply
    1,271.19x = 1,905.18 × 577.65
  4. Step 4: Simplify right side
    1,271.19x = 1,100,527.23
  5. Step 5: Solve for x
    x = 1,100,527.23/1,271.19
  6. Step 6: Final answer
    x = 865.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.