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Finding the Fourth Proportional to 1,118.04, 1,678.27 and 945.51

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Solution

The fourth proportional to 1,118.04, 1,678.27 and 945.51 is: 1,419.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118.04 : 1,678.27 = 945.51 : x
  2. Step 2: Convert to fraction form
    1,118.04/1,678.27 = 945.51/x
  3. Step 3: Cross multiply
    1,118.04x = 1,678.27 × 945.51
  4. Step 4: Simplify right side
    1,118.04x = 1,586,814.18
  5. Step 5: Solve for x
    x = 1,586,814.18/1,118.04
  6. Step 6: Final answer
    x = 1,419.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.