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Finding the Fourth Proportional to 1,250.39, 1,725.43 and 690.77

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Solution

The fourth proportional to 1,250.39, 1,725.43 and 690.77 is: 953.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,250.39 : 1,725.43 = 690.77 : x
  2. Step 2: Convert to fraction form
    1,250.39/1,725.43 = 690.77/x
  3. Step 3: Cross multiply
    1,250.39x = 1,725.43 × 690.77
  4. Step 4: Simplify right side
    1,250.39x = 1,191,864.93
  5. Step 5: Solve for x
    x = 1,191,864.93/1,250.39
  6. Step 6: Final answer
    x = 953.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.