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Finding the Fourth Proportional to 1,271.64, 1,907.58 and 347.27

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Solution

The fourth proportional to 1,271.64, 1,907.58 and 347.27 is: 520.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271.64 : 1,907.58 = 347.27 : x
  2. Step 2: Convert to fraction form
    1,271.64/1,907.58 = 347.27/x
  3. Step 3: Cross multiply
    1,271.64x = 1,907.58 × 347.27
  4. Step 4: Simplify right side
    1,271.64x = 662,435.77
  5. Step 5: Solve for x
    x = 662,435.77/1,271.64
  6. Step 6: Final answer
    x = 520.93

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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.