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Finding the Fourth Proportional to 1,319.65, 1,980.04 and 626.80

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Solution

The fourth proportional to 1,319.65, 1,980.04 and 626.80 is: 940.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.65 : 1,980.04 = 626.80 : x
  2. Step 2: Convert to fraction form
    1,319.65/1,980.04 = 626.80/x
  3. Step 3: Cross multiply
    1,319.65x = 1,980.04 × 626.80
  4. Step 4: Simplify right side
    1,319.65x = 1,241,089.07
  5. Step 5: Solve for x
    x = 1,241,089.07/1,319.65
  6. Step 6: Final answer
    x = 940.47

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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.