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Finding the Fourth Proportional to 1,177.16, 1,624.32 and 704.92

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Solution

The fourth proportional to 1,177.16, 1,624.32 and 704.92 is: 972.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.16 : 1,624.32 = 704.92 : x
  2. Step 2: Convert to fraction form
    1,177.16/1,624.32 = 704.92/x
  3. Step 3: Cross multiply
    1,177.16x = 1,624.32 × 704.92
  4. Step 4: Simplify right side
    1,177.16x = 1,145,015.65
  5. Step 5: Solve for x
    x = 1,145,015.65/1,177.16
  6. Step 6: Final answer
    x = 972.69

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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.