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Finding the Fourth Proportional to 1,491.97, 2,059.88 and 933.27

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Solution

The fourth proportional to 1,491.97, 2,059.88 and 933.27 is: 1,288.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,491.97 : 2,059.88 = 933.27 : x
  2. Step 2: Convert to fraction form
    1,491.97/2,059.88 = 933.27/x
  3. Step 3: Cross multiply
    1,491.97x = 2,059.88 × 933.27
  4. Step 4: Simplify right side
    1,491.97x = 1,922,428.65
  5. Step 5: Solve for x
    x = 1,922,428.65/1,491.97
  6. Step 6: Final answer
    x = 1,288.52

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1.5x scale

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.