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Finding the Fourth Proportional to 734.52, 1,013.64 and 419.80

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Solution

The fourth proportional to 734.52, 1,013.64 and 419.80 is: 579.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.52 : 1,013.64 = 419.80 : x
  2. Step 2: Convert to fraction form
    734.52/1,013.64 = 419.80/x
  3. Step 3: Cross multiply
    734.52x = 1,013.64 × 419.80
  4. Step 4: Simplify right side
    734.52x = 425,526.07
  5. Step 5: Solve for x
    x = 425,526.07/734.52
  6. Step 6: Final answer
    x = 579.33

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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.