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Finding the Fourth Proportional to 1,064.26, 1,596.39 and 698.14

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Solution

The fourth proportional to 1,064.26, 1,596.39 and 698.14 is: 1,047.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.26 : 1,596.39 = 698.14 : x
  2. Step 2: Convert to fraction form
    1,064.26/1,596.39 = 698.14/x
  3. Step 3: Cross multiply
    1,064.26x = 1,596.39 × 698.14
  4. Step 4: Simplify right side
    1,064.26x = 1,114,503.71
  5. Step 5: Solve for x
    x = 1,114,503.71/1,064.26
  6. Step 6: Final answer
    x = 1,047.21

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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.