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Finding the Fourth Proportional to 688.51, 1,037.86 and 678.79

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Solution

The fourth proportional to 688.51, 1,037.86 and 678.79 is: 1,023.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.51 : 1,037.86 = 678.79 : x
  2. Step 2: Convert to fraction form
    688.51/1,037.86 = 678.79/x
  3. Step 3: Cross multiply
    688.51x = 1,037.86 × 678.79
  4. Step 4: Simplify right side
    688.51x = 704,488.99
  5. Step 5: Solve for x
    x = 704,488.99/688.51
  6. Step 6: Final answer
    x = 1,023.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.