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Finding the Fourth Proportional to 1,503.14, 2,074.31 and 830.99

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Solution

The fourth proportional to 1,503.14, 2,074.31 and 830.99 is: 1,146.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,503.14 : 2,074.31 = 830.99 : x
  2. Step 2: Convert to fraction form
    1,503.14/2,074.31 = 830.99/x
  3. Step 3: Cross multiply
    1,503.14x = 2,074.31 × 830.99
  4. Step 4: Simplify right side
    1,503.14x = 1,723,722.57
  5. Step 5: Solve for x
    x = 1,723,722.57/1,503.14
  6. Step 6: Final answer
    x = 1,146.75

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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.