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Finding the Fourth Proportional to 1,176.88, 1,771.47 and 1,063.77

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Solution

The fourth proportional to 1,176.88, 1,771.47 and 1,063.77 is: 1,601.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.88 : 1,771.47 = 1,063.77 : x
  2. Step 2: Convert to fraction form
    1,176.88/1,771.47 = 1,063.77/x
  3. Step 3: Cross multiply
    1,176.88x = 1,771.47 × 1,063.77
  4. Step 4: Simplify right side
    1,176.88x = 1,884,437.47
  5. Step 5: Solve for x
    x = 1,884,437.47/1,176.88
  6. Step 6: Final answer
    x = 1,601.22

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.