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Finding the Fourth Proportional to 733.83, 1,012.53 and 419.01

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Solution

The fourth proportional to 733.83, 1,012.53 and 419.01 is: 578.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.83 : 1,012.53 = 419.01 : x
  2. Step 2: Convert to fraction form
    733.83/1,012.53 = 419.01/x
  3. Step 3: Cross multiply
    733.83x = 1,012.53 × 419.01
  4. Step 4: Simplify right side
    733.83x = 424,260.20
  5. Step 5: Solve for x
    x = 424,260.20/733.83
  6. Step 6: Final answer
    x = 578.15

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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.