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Finding the Fourth Proportional to 1,177.92, 1,770.06 and 715.80

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Solution

The fourth proportional to 1,177.92, 1,770.06 and 715.80 is: 1,075.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.92 : 1,770.06 = 715.80 : x
  2. Step 2: Convert to fraction form
    1,177.92/1,770.06 = 715.80/x
  3. Step 3: Cross multiply
    1,177.92x = 1,770.06 × 715.80
  4. Step 4: Simplify right side
    1,177.92x = 1,267,008.95
  5. Step 5: Solve for x
    x = 1,267,008.95/1,177.92
  6. Step 6: Final answer
    x = 1,075.63

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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.