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Finding the Fourth Proportional to 1,588.51, 2,381.10 and 765.05

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Solution

The fourth proportional to 1,588.51, 2,381.10 and 765.05 is: 1,146.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.51 : 2,381.10 = 765.05 : x
  2. Step 2: Convert to fraction form
    1,588.51/2,381.10 = 765.05/x
  3. Step 3: Cross multiply
    1,588.51x = 2,381.10 × 765.05
  4. Step 4: Simplify right side
    1,588.51x = 1,821,645.78
  5. Step 5: Solve for x
    x = 1,821,645.78/1,588.51
  6. Step 6: Final answer
    x = 1,146.76

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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.