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Finding the Fourth Proportional to 1,177.87, 1,625.24 and 763.63

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Solution

The fourth proportional to 1,177.87, 1,625.24 and 763.63 is: 1,053.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.87 : 1,625.24 = 763.63 : x
  2. Step 2: Convert to fraction form
    1,177.87/1,625.24 = 763.63/x
  3. Step 3: Cross multiply
    1,177.87x = 1,625.24 × 763.63
  4. Step 4: Simplify right side
    1,177.87x = 1,241,075.80
  5. Step 5: Solve for x
    x = 1,241,075.80/1,177.87
  6. Step 6: Final answer
    x = 1,053.67

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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.