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Finding the Fourth Proportional to 1,283.62, 1,923.70 and 666.04

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Solution

The fourth proportional to 1,283.62, 1,923.70 and 666.04 is: 998.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.62 : 1,923.70 = 666.04 : x
  2. Step 2: Convert to fraction form
    1,283.62/1,923.70 = 666.04/x
  3. Step 3: Cross multiply
    1,283.62x = 1,923.70 × 666.04
  4. Step 4: Simplify right side
    1,283.62x = 1,281,261.15
  5. Step 5: Solve for x
    x = 1,281,261.15/1,283.62
  6. Step 6: Final answer
    x = 998.16

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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.