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Finding the Fourth Proportional to 1,019.07, 1,402.79 and 894.15

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Solution

The fourth proportional to 1,019.07, 1,402.79 and 894.15 is: 1,230.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.07 : 1,402.79 = 894.15 : x
  2. Step 2: Convert to fraction form
    1,019.07/1,402.79 = 894.15/x
  3. Step 3: Cross multiply
    1,019.07x = 1,402.79 × 894.15
  4. Step 4: Simplify right side
    1,019.07x = 1,254,300.21
  5. Step 5: Solve for x
    x = 1,254,300.21/1,019.07
  6. Step 6: Final answer
    x = 1,230.83

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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.