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Finding the Fourth Proportional to 734.16, 1,012.88 and 419.42

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Solution

The fourth proportional to 734.16, 1,012.88 and 419.42 is: 578.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.16 : 1,012.88 = 419.42 : x
  2. Step 2: Convert to fraction form
    734.16/1,012.88 = 419.42/x
  3. Step 3: Cross multiply
    734.16x = 1,012.88 × 419.42
  4. Step 4: Simplify right side
    734.16x = 424,822.13
  5. Step 5: Solve for x
    x = 424,822.13/734.16
  6. Step 6: Final answer
    x = 578.65

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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.