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Finding the Fourth Proportional to 1,271.64, 1,754.90 and 899.29

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Solution

The fourth proportional to 1,271.64, 1,754.90 and 899.29 is: 1,241.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271.64 : 1,754.90 = 899.29 : x
  2. Step 2: Convert to fraction form
    1,271.64/1,754.90 = 899.29/x
  3. Step 3: Cross multiply
    1,271.64x = 1,754.90 × 899.29
  4. Step 4: Simplify right side
    1,271.64x = 1,578,159.52
  5. Step 5: Solve for x
    x = 1,578,159.52/1,271.64
  6. Step 6: Final answer
    x = 1,241.04

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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.