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Finding the Fourth Proportional to 1,398.67, 1,930.16 and 777.67

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Solution

The fourth proportional to 1,398.67, 1,930.16 and 777.67 is: 1,073.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.67 : 1,930.16 = 777.67 : x
  2. Step 2: Convert to fraction form
    1,398.67/1,930.16 = 777.67/x
  3. Step 3: Cross multiply
    1,398.67x = 1,930.16 × 777.67
  4. Step 4: Simplify right side
    1,398.67x = 1,501,024.65
  5. Step 5: Solve for x
    x = 1,501,024.65/1,398.67
  6. Step 6: Final answer
    x = 1,073.18

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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.