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Finding the Fourth Proportional to 1,277.58, 1,762.94 and 753.50

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Solution

The fourth proportional to 1,277.58, 1,762.94 and 753.50 is: 1,039.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277.58 : 1,762.94 = 753.50 : x
  2. Step 2: Convert to fraction form
    1,277.58/1,762.94 = 753.50/x
  3. Step 3: Cross multiply
    1,277.58x = 1,762.94 × 753.50
  4. Step 4: Simplify right side
    1,277.58x = 1,328,375.29
  5. Step 5: Solve for x
    x = 1,328,375.29/1,277.58
  6. Step 6: Final answer
    x = 1,039.76

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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.