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Finding the Fourth Proportional to 1,055.46, 1,457.01 and 1,000.92

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Solution

The fourth proportional to 1,055.46, 1,457.01 and 1,000.92 is: 1,381.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.46 : 1,457.01 = 1,000.92 : x
  2. Step 2: Convert to fraction form
    1,055.46/1,457.01 = 1,000.92/x
  3. Step 3: Cross multiply
    1,055.46x = 1,457.01 × 1,000.92
  4. Step 4: Simplify right side
    1,055.46x = 1,458,350.45
  5. Step 5: Solve for x
    x = 1,458,350.45/1,055.46
  6. Step 6: Final answer
    x = 1,381.72

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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.