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Finding the Fourth Proportional to 1,810.25, 2,715.73 and 770.24

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Solution

The fourth proportional to 1,810.25, 2,715.73 and 770.24 is: 1,155.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,810.25 : 2,715.73 = 770.24 : x
  2. Step 2: Convert to fraction form
    1,810.25/2,715.73 = 770.24/x
  3. Step 3: Cross multiply
    1,810.25x = 2,715.73 × 770.24
  4. Step 4: Simplify right side
    1,810.25x = 2,091,763.88
  5. Step 5: Solve for x
    x = 2,091,763.88/1,810.25
  6. Step 6: Final answer
    x = 1,155.51

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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.