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Finding the Fourth Proportional to 1,070.89, 1,476.96 and 739.24

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Solution

The fourth proportional to 1,070.89, 1,476.96 and 739.24 is: 1,019.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.89 : 1,476.96 = 739.24 : x
  2. Step 2: Convert to fraction form
    1,070.89/1,476.96 = 739.24/x
  3. Step 3: Cross multiply
    1,070.89x = 1,476.96 × 739.24
  4. Step 4: Simplify right side
    1,070.89x = 1,091,827.91
  5. Step 5: Solve for x
    x = 1,091,827.91/1,070.89
  6. Step 6: Final answer
    x = 1,019.55

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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.