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Finding the Fourth Proportional to 1,319.71, 1,980.14 and 626.87

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Solution

The fourth proportional to 1,319.71, 1,980.14 and 626.87 is: 940.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.71 : 1,980.14 = 626.87 : x
  2. Step 2: Convert to fraction form
    1,319.71/1,980.14 = 626.87/x
  3. Step 3: Cross multiply
    1,319.71x = 1,980.14 × 626.87
  4. Step 4: Simplify right side
    1,319.71x = 1,241,277.33
  5. Step 5: Solve for x
    x = 1,241,277.33/1,319.71
  6. Step 6: Final answer
    x = 940.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.