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Finding the Fourth Proportional to 1,390.39, 1,918.45 and 830.65

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Solution

The fourth proportional to 1,390.39, 1,918.45 and 830.65 is: 1,146.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,390.39 : 1,918.45 = 830.65 : x
  2. Step 2: Convert to fraction form
    1,390.39/1,918.45 = 830.65/x
  3. Step 3: Cross multiply
    1,390.39x = 1,918.45 × 830.65
  4. Step 4: Simplify right side
    1,390.39x = 1,593,560.49
  5. Step 5: Solve for x
    x = 1,593,560.49/1,390.39
  6. Step 6: Final answer
    x = 1,146.12

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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.