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Finding the Fourth Proportional to 1,313.58, 1,970.91 and 728.49

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Solution

The fourth proportional to 1,313.58, 1,970.91 and 728.49 is: 1,093.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.58 : 1,970.91 = 728.49 : x
  2. Step 2: Convert to fraction form
    1,313.58/1,970.91 = 728.49/x
  3. Step 3: Cross multiply
    1,313.58x = 1,970.91 × 728.49
  4. Step 4: Simplify right side
    1,313.58x = 1,435,788.23
  5. Step 5: Solve for x
    x = 1,435,788.23/1,313.58
  6. Step 6: Final answer
    x = 1,093.03

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1.5x scale

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.