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Finding the Fourth Proportional to 677.99, 935.35 and 501.36

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Solution

The fourth proportional to 677.99, 935.35 and 501.36 is: 691.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.99 : 935.35 = 501.36 : x
  2. Step 2: Convert to fraction form
    677.99/935.35 = 501.36/x
  3. Step 3: Cross multiply
    677.99x = 935.35 × 501.36
  4. Step 4: Simplify right side
    677.99x = 468,945.82
  5. Step 5: Solve for x
    x = 468,945.82/677.99
  6. Step 6: Final answer
    x = 691.67

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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.