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Finding the Fourth Proportional to 1,019.79, 1,405.97 and 735.97

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Solution

The fourth proportional to 1,019.79, 1,405.97 and 735.97 is: 1,014.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.79 : 1,405.97 = 735.97 : x
  2. Step 2: Convert to fraction form
    1,019.79/1,405.97 = 735.97/x
  3. Step 3: Cross multiply
    1,019.79x = 1,405.97 × 735.97
  4. Step 4: Simplify right side
    1,019.79x = 1,034,746.39
  5. Step 5: Solve for x
    x = 1,034,746.39/1,019.79
  6. Step 6: Final answer
    x = 1,014.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.