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Finding the Fourth Proportional to 733.86, 1,012.83 and 419.07

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Solution

The fourth proportional to 733.86, 1,012.83 and 419.07 is: 578.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.86 : 1,012.83 = 419.07 : x
  2. Step 2: Convert to fraction form
    733.86/1,012.83 = 419.07/x
  3. Step 3: Cross multiply
    733.86x = 1,012.83 × 419.07
  4. Step 4: Simplify right side
    733.86x = 424,446.67
  5. Step 5: Solve for x
    x = 424,446.67/733.86
  6. Step 6: Final answer
    x = 578.38

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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.