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Finding the Fourth Proportional to 1,047.94, 1,449.30 and 916.72

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Solution

The fourth proportional to 1,047.94, 1,449.30 and 916.72 is: 1,267.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.94 : 1,449.30 = 916.72 : x
  2. Step 2: Convert to fraction form
    1,047.94/1,449.30 = 916.72/x
  3. Step 3: Cross multiply
    1,047.94x = 1,449.30 × 916.72
  4. Step 4: Simplify right side
    1,047.94x = 1,328,602.30
  5. Step 5: Solve for x
    x = 1,328,602.30/1,047.94
  6. Step 6: Final answer
    x = 1,267.82

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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.