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Finding the Fourth Proportional to 785.29, 1,176.42 and 419.58

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Solution

The fourth proportional to 785.29, 1,176.42 and 419.58 is: 628.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.29 : 1,176.42 = 419.58 : x
  2. Step 2: Convert to fraction form
    785.29/1,176.42 = 419.58/x
  3. Step 3: Cross multiply
    785.29x = 1,176.42 × 419.58
  4. Step 4: Simplify right side
    785.29x = 493,598.31
  5. Step 5: Solve for x
    x = 493,598.31/785.29
  6. Step 6: Final answer
    x = 628.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.