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Finding the Fourth Proportional to 1,078.42, 1,488.30 and 606.37

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Solution

The fourth proportional to 1,078.42, 1,488.30 and 606.37 is: 836.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.42 : 1,488.30 = 606.37 : x
  2. Step 2: Convert to fraction form
    1,078.42/1,488.30 = 606.37/x
  3. Step 3: Cross multiply
    1,078.42x = 1,488.30 × 606.37
  4. Step 4: Simplify right side
    1,078.42x = 902,460.47
  5. Step 5: Solve for x
    x = 902,460.47/1,078.42
  6. Step 6: Final answer
    x = 836.84

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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.