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Finding the Fourth Proportional to 1,154.10, 1,729.78 and 666.14

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Solution

The fourth proportional to 1,154.10, 1,729.78 and 666.14 is: 998.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.10 : 1,729.78 = 666.14 : x
  2. Step 2: Convert to fraction form
    1,154.10/1,729.78 = 666.14/x
  3. Step 3: Cross multiply
    1,154.10x = 1,729.78 × 666.14
  4. Step 4: Simplify right side
    1,154.10x = 1,152,275.65
  5. Step 5: Solve for x
    x = 1,152,275.65/1,154.10
  6. Step 6: Final answer
    x = 998.42

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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.