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Finding the Fourth Proportional to 784.16, 1,176.08 and 419.12

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Solution

The fourth proportional to 784.16, 1,176.08 and 419.12 is: 628.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.16 : 1,176.08 = 419.12 : x
  2. Step 2: Convert to fraction form
    784.16/1,176.08 = 419.12/x
  3. Step 3: Cross multiply
    784.16x = 1,176.08 × 419.12
  4. Step 4: Simplify right side
    784.16x = 492,918.65
  5. Step 5: Solve for x
    x = 492,918.65/784.16
  6. Step 6: Final answer
    x = 628.59

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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.