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Finding the Fourth Proportional to 1,133.24, 1,698.70 and 670.93

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Solution

The fourth proportional to 1,133.24, 1,698.70 and 670.93 is: 1,005.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.24 : 1,698.70 = 670.93 : x
  2. Step 2: Convert to fraction form
    1,133.24/1,698.70 = 670.93/x
  3. Step 3: Cross multiply
    1,133.24x = 1,698.70 × 670.93
  4. Step 4: Simplify right side
    1,133.24x = 1,139,708.79
  5. Step 5: Solve for x
    x = 1,139,708.79/1,133.24
  6. Step 6: Final answer
    x = 1,005.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.