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Finding the Fourth Proportional to 1,282.99, 1,923.80 and 666.07

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Solution

The fourth proportional to 1,282.99, 1,923.80 and 666.07 is: 998.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.99 : 1,923.80 = 666.07 : x
  2. Step 2: Convert to fraction form
    1,282.99/1,923.80 = 666.07/x
  3. Step 3: Cross multiply
    1,282.99x = 1,923.80 × 666.07
  4. Step 4: Simplify right side
    1,282.99x = 1,281,377.33
  5. Step 5: Solve for x
    x = 1,281,377.33/1,282.99
  6. Step 6: Final answer
    x = 998.74

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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.