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Finding the Fourth Proportional to 1,277.00, 1,914.90 and 750.15

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Solution

The fourth proportional to 1,277.00, 1,914.90 and 750.15 is: 1,124.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277.00 : 1,914.90 = 750.15 : x
  2. Step 2: Convert to fraction form
    1,277.00/1,914.90 = 750.15/x
  3. Step 3: Cross multiply
    1,277.00x = 1,914.90 × 750.15
  4. Step 4: Simplify right side
    1,277.00x = 1,436,462.24
  5. Step 5: Solve for x
    x = 1,436,462.24/1,277.00
  6. Step 6: Final answer
    x = 1,124.88

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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.