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Finding the Fourth Proportional to 1,133.19, 1,700.09 and 671.19

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Solution

The fourth proportional to 1,133.19, 1,700.09 and 671.19 is: 1,006.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.19 : 1,700.09 = 671.19 : x
  2. Step 2: Convert to fraction form
    1,133.19/1,700.09 = 671.19/x
  3. Step 3: Cross multiply
    1,133.19x = 1,700.09 × 671.19
  4. Step 4: Simplify right side
    1,133.19x = 1,141,076.19
  5. Step 5: Solve for x
    x = 1,141,076.19/1,133.19
  6. Step 6: Final answer
    x = 1,006.96

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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.