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Finding the Fourth Proportional to 1,254.99, 1,884.65 and 770.88

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Solution

The fourth proportional to 1,254.99, 1,884.65 and 770.88 is: 1,157.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.99 : 1,884.65 = 770.88 : x
  2. Step 2: Convert to fraction form
    1,254.99/1,884.65 = 770.88/x
  3. Step 3: Cross multiply
    1,254.99x = 1,884.65 × 770.88
  4. Step 4: Simplify right side
    1,254.99x = 1,452,838.99
  5. Step 5: Solve for x
    x = 1,452,838.99/1,254.99
  6. Step 6: Final answer
    x = 1,157.65

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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.