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Finding the Fourth Proportional to 1,300.56, 1,794.87 and 776.58

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Solution

The fourth proportional to 1,300.56, 1,794.87 and 776.58 is: 1,071.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300.56 : 1,794.87 = 776.58 : x
  2. Step 2: Convert to fraction form
    1,300.56/1,794.87 = 776.58/x
  3. Step 3: Cross multiply
    1,300.56x = 1,794.87 × 776.58
  4. Step 4: Simplify right side
    1,300.56x = 1,393,860.14
  5. Step 5: Solve for x
    x = 1,393,860.14/1,300.56
  6. Step 6: Final answer
    x = 1,071.74

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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.