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Finding the Fourth Proportional to 784.41, 1,176.24 and 290.66

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Solution

The fourth proportional to 784.41, 1,176.24 and 290.66 is: 435.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.41 : 1,176.24 = 290.66 : x
  2. Step 2: Convert to fraction form
    784.41/1,176.24 = 290.66/x
  3. Step 3: Cross multiply
    784.41x = 1,176.24 × 290.66
  4. Step 4: Simplify right side
    784.41x = 341,880.04
  5. Step 5: Solve for x
    x = 341,880.04/784.41
  6. Step 6: Final answer
    x = 435.84

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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.