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Finding the Fourth Proportional to 743.07, 1,119.03 and 628.26

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Solution

The fourth proportional to 743.07, 1,119.03 and 628.26 is: 946.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.07 : 1,119.03 = 628.26 : x
  2. Step 2: Convert to fraction form
    743.07/1,119.03 = 628.26/x
  3. Step 3: Cross multiply
    743.07x = 1,119.03 × 628.26
  4. Step 4: Simplify right side
    743.07x = 703,041.79
  5. Step 5: Solve for x
    x = 703,041.79/743.07
  6. Step 6: Final answer
    x = 946.13

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.