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Finding the Fourth Proportional to 1,176.54, 1,623.60 and 704.77

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Solution

The fourth proportional to 1,176.54, 1,623.60 and 704.77 is: 972.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.54 : 1,623.60 = 704.77 : x
  2. Step 2: Convert to fraction form
    1,176.54/1,623.60 = 704.77/x
  3. Step 3: Cross multiply
    1,176.54x = 1,623.60 × 704.77
  4. Step 4: Simplify right side
    1,176.54x = 1,144,264.57
  5. Step 5: Solve for x
    x = 1,144,264.57/1,176.54
  6. Step 6: Final answer
    x = 972.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.