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Finding the Fourth Proportional to 734.30, 1,013.29 and 419.59

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Solution

The fourth proportional to 734.30, 1,013.29 and 419.59 is: 579.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.30 : 1,013.29 = 419.59 : x
  2. Step 2: Convert to fraction form
    734.30/1,013.29 = 419.59/x
  3. Step 3: Cross multiply
    734.30x = 1,013.29 × 419.59
  4. Step 4: Simplify right side
    734.30x = 425,162.77
  5. Step 5: Solve for x
    x = 425,162.77/734.30
  6. Step 6: Final answer
    x = 579.01

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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.