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Finding the Fourth Proportional to 920.66, 1,270.49 and 527.67

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Solution

The fourth proportional to 920.66, 1,270.49 and 527.67 is: 728.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.66 : 1,270.49 = 527.67 : x
  2. Step 2: Convert to fraction form
    920.66/1,270.49 = 527.67/x
  3. Step 3: Cross multiply
    920.66x = 1,270.49 × 527.67
  4. Step 4: Simplify right side
    920.66x = 670,396.82
  5. Step 5: Solve for x
    x = 670,396.82/920.66
  6. Step 6: Final answer
    x = 728.17

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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.