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Finding the Fourth Proportional to 1,141.66, 1,712.26 and 729.55

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Solution

The fourth proportional to 1,141.66, 1,712.26 and 729.55 is: 1,094.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141.66 : 1,712.26 = 729.55 : x
  2. Step 2: Convert to fraction form
    1,141.66/1,712.26 = 729.55/x
  3. Step 3: Cross multiply
    1,141.66x = 1,712.26 × 729.55
  4. Step 4: Simplify right side
    1,141.66x = 1,249,179.28
  5. Step 5: Solve for x
    x = 1,249,179.28/1,141.66
  6. Step 6: Final answer
    x = 1,094.18

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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.