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Finding the Fourth Proportional to 733.69, 1,012.39 and 472.06

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Solution

The fourth proportional to 733.69, 1,012.39 and 472.06 is: 651.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.69 : 1,012.39 = 472.06 : x
  2. Step 2: Convert to fraction form
    733.69/1,012.39 = 472.06/x
  3. Step 3: Cross multiply
    733.69x = 1,012.39 × 472.06
  4. Step 4: Simplify right side
    733.69x = 477,908.82
  5. Step 5: Solve for x
    x = 477,908.82/733.69
  6. Step 6: Final answer
    x = 651.38

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Double scale
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1.5x scale

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.