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Finding the Fourth Proportional to 784.37, 1,176.15 and 419.06

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Solution

The fourth proportional to 784.37, 1,176.15 and 419.06 is: 628.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.37 : 1,176.15 = 419.06 : x
  2. Step 2: Convert to fraction form
    784.37/1,176.15 = 419.06/x
  3. Step 3: Cross multiply
    784.37x = 1,176.15 × 419.06
  4. Step 4: Simplify right side
    784.37x = 492,877.42
  5. Step 5: Solve for x
    x = 492,877.42/784.37
  6. Step 6: Final answer
    x = 628.37

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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.