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Finding the Fourth Proportional to 1,250.84, 1,876.37 and 556.77

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Solution

The fourth proportional to 1,250.84, 1,876.37 and 556.77 is: 835.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,250.84 : 1,876.37 = 556.77 : x
  2. Step 2: Convert to fraction form
    1,250.84/1,876.37 = 556.77/x
  3. Step 3: Cross multiply
    1,250.84x = 1,876.37 × 556.77
  4. Step 4: Simplify right side
    1,250.84x = 1,044,710.78
  5. Step 5: Solve for x
    x = 1,044,710.78/1,250.84
  6. Step 6: Final answer
    x = 835.21

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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.