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Finding the Fourth Proportional to 1,146.51, 1,715.65 and 992.96

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Solution

The fourth proportional to 1,146.51, 1,715.65 and 992.96 is: 1,485.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.51 : 1,715.65 = 992.96 : x
  2. Step 2: Convert to fraction form
    1,146.51/1,715.65 = 992.96/x
  3. Step 3: Cross multiply
    1,146.51x = 1,715.65 × 992.96
  4. Step 4: Simplify right side
    1,146.51x = 1,703,571.82
  5. Step 5: Solve for x
    x = 1,703,571.82/1,146.51
  6. Step 6: Final answer
    x = 1,485.88

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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.