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Finding the Fourth Proportional to 1,352.99, 2,029.58 and 379.16

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Solution

The fourth proportional to 1,352.99, 2,029.58 and 379.16 is: 568.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,352.99 : 2,029.58 = 379.16 : x
  2. Step 2: Convert to fraction form
    1,352.99/2,029.58 = 379.16/x
  3. Step 3: Cross multiply
    1,352.99x = 2,029.58 × 379.16
  4. Step 4: Simplify right side
    1,352.99x = 769,535.55
  5. Step 5: Solve for x
    x = 769,535.55/1,352.99
  6. Step 6: Final answer
    x = 568.77

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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.