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Finding the Fourth Proportional to 1,139.66, 1,706.73 and 651.23

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Solution

The fourth proportional to 1,139.66, 1,706.73 and 651.23 is: 975.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.66 : 1,706.73 = 651.23 : x
  2. Step 2: Convert to fraction form
    1,139.66/1,706.73 = 651.23/x
  3. Step 3: Cross multiply
    1,139.66x = 1,706.73 × 651.23
  4. Step 4: Simplify right side
    1,139.66x = 1,111,473.78
  5. Step 5: Solve for x
    x = 1,111,473.78/1,139.66
  6. Step 6: Final answer
    x = 975.27

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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.