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Finding the Fourth Proportional to 677.70, 1,010.48 and 676.76

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Solution

The fourth proportional to 677.70, 1,010.48 and 676.76 is: 1,009.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.70 : 1,010.48 = 676.76 : x
  2. Step 2: Convert to fraction form
    677.70/1,010.48 = 676.76/x
  3. Step 3: Cross multiply
    677.70x = 1,010.48 × 676.76
  4. Step 4: Simplify right side
    677.70x = 683,844.01
  5. Step 5: Solve for x
    x = 683,844.01/677.70
  6. Step 6: Final answer
    x = 1,009.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.