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Finding the Fourth Proportional to 756.18, 1,139.90 and 706.01

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Solution

The fourth proportional to 756.18, 1,139.90 and 706.01 is: 1,064.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.18 : 1,139.90 = 706.01 : x
  2. Step 2: Convert to fraction form
    756.18/1,139.90 = 706.01/x
  3. Step 3: Cross multiply
    756.18x = 1,139.90 × 706.01
  4. Step 4: Simplify right side
    756.18x = 804,771.57
  5. Step 5: Solve for x
    x = 804,771.57/756.18
  6. Step 6: Final answer
    x = 1,064.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.