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Finding the Fourth Proportional to 734, 1,012.98 and 419.36

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Solution

The fourth proportional to 734, 1,012.98 and 419.36 is: 578.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    734 : 1,012.98 = 419.36 : x
  2. Step 2: Convert to fraction form
    734/1,012.98 = 419.36/x
  3. Step 3: Cross multiply
    734x = 1,012.98 × 419.36
  4. Step 4: Simplify right side
    734x = 424,803.29
  5. Step 5: Solve for x
    x = 424,803.29/734
  6. Step 6: Final answer
    x = 578.75

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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.