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Finding the Fourth Proportional to 1,310.06, 1,967.70 and 783.99

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Solution

The fourth proportional to 1,310.06, 1,967.70 and 783.99 is: 1,177.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.06 : 1,967.70 = 783.99 : x
  2. Step 2: Convert to fraction form
    1,310.06/1,967.70 = 783.99/x
  3. Step 3: Cross multiply
    1,310.06x = 1,967.70 × 783.99
  4. Step 4: Simplify right side
    1,310.06x = 1,542,657.12
  5. Step 5: Solve for x
    x = 1,542,657.12/1,310.06
  6. Step 6: Final answer
    x = 1,177.55

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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.