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Finding the Fourth Proportional to 1,051.05, 1,451.13 and 719.35

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Solution

The fourth proportional to 1,051.05, 1,451.13 and 719.35 is: 993.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.05 : 1,451.13 = 719.35 : x
  2. Step 2: Convert to fraction form
    1,051.05/1,451.13 = 719.35/x
  3. Step 3: Cross multiply
    1,051.05x = 1,451.13 × 719.35
  4. Step 4: Simplify right side
    1,051.05x = 1,043,870.37
  5. Step 5: Solve for x
    x = 1,043,870.37/1,051.05
  6. Step 6: Final answer
    x = 993.17

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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.