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Finding the Fourth Proportional to 1,156.51, 1,735 and 426.07

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Solution

The fourth proportional to 1,156.51, 1,735 and 426.07 is: 639.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.51 : 1,735 = 426.07 : x
  2. Step 2: Convert to fraction form
    1,156.51/1,735 = 426.07/x
  3. Step 3: Cross multiply
    1,156.51x = 1,735 × 426.07
  4. Step 4: Simplify right side
    1,156.51x = 739,231.45
  5. Step 5: Solve for x
    x = 739,231.45/1,156.51
  6. Step 6: Final answer
    x = 639.19

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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.