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Finding the Fourth Proportional to 1,019.18, 1,527.93 and 845.37

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Solution

The fourth proportional to 1,019.18, 1,527.93 and 845.37 is: 1,267.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.18 : 1,527.93 = 845.37 : x
  2. Step 2: Convert to fraction form
    1,019.18/1,527.93 = 845.37/x
  3. Step 3: Cross multiply
    1,019.18x = 1,527.93 × 845.37
  4. Step 4: Simplify right side
    1,019.18x = 1,291,666.18
  5. Step 5: Solve for x
    x = 1,291,666.18/1,019.18
  6. Step 6: Final answer
    x = 1,267.36

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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.