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Finding the Fourth Proportional to 1,000.94, 1,381.23 and 558.87

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Solution

The fourth proportional to 1,000.94, 1,381.23 and 558.87 is: 771.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.94 : 1,381.23 = 558.87 : x
  2. Step 2: Convert to fraction form
    1,000.94/1,381.23 = 558.87/x
  3. Step 3: Cross multiply
    1,000.94x = 1,381.23 × 558.87
  4. Step 4: Simplify right side
    1,000.94x = 771,928.01
  5. Step 5: Solve for x
    x = 771,928.01/1,000.94
  6. Step 6: Final answer
    x = 771.21

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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.