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Finding the Fourth Proportional to 1,154.98, 1,729.70 and 666.55

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Solution

The fourth proportional to 1,154.98, 1,729.70 and 666.55 is: 998.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.98 : 1,729.70 = 666.55 : x
  2. Step 2: Convert to fraction form
    1,154.98/1,729.70 = 666.55/x
  3. Step 3: Cross multiply
    1,154.98x = 1,729.70 × 666.55
  4. Step 4: Simplify right side
    1,154.98x = 1,152,926.88
  5. Step 5: Solve for x
    x = 1,152,926.88/1,154.98
  6. Step 6: Final answer
    x = 998.23

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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.