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Finding the Fourth Proportional to 1,309.74, 1,804.38 and 977.54

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Solution

The fourth proportional to 1,309.74, 1,804.38 and 977.54 is: 1,346.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.74 : 1,804.38 = 977.54 : x
  2. Step 2: Convert to fraction form
    1,309.74/1,804.38 = 977.54/x
  3. Step 3: Cross multiply
    1,309.74x = 1,804.38 × 977.54
  4. Step 4: Simplify right side
    1,309.74x = 1,763,853.63
  5. Step 5: Solve for x
    x = 1,763,853.63/1,309.74
  6. Step 6: Final answer
    x = 1,346.72

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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.