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Finding the Fourth Proportional to 1,312.96, 1,977.22 and 950.29

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Solution

The fourth proportional to 1,312.96, 1,977.22 and 950.29 is: 1,431.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.96 : 1,977.22 = 950.29 : x
  2. Step 2: Convert to fraction form
    1,312.96/1,977.22 = 950.29/x
  3. Step 3: Cross multiply
    1,312.96x = 1,977.22 × 950.29
  4. Step 4: Simplify right side
    1,312.96x = 1,878,927.64
  5. Step 5: Solve for x
    x = 1,878,927.64/1,312.96
  6. Step 6: Final answer
    x = 1,431.06

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.