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Finding the Fourth Proportional to 784.42, 1,176.54 and 207.34

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Solution

The fourth proportional to 784.42, 1,176.54 and 207.34 is: 310.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.42 : 1,176.54 = 207.34 : x
  2. Step 2: Convert to fraction form
    784.42/1,176.54 = 207.34/x
  3. Step 3: Cross multiply
    784.42x = 1,176.54 × 207.34
  4. Step 4: Simplify right side
    784.42x = 243,943.80
  5. Step 5: Solve for x
    x = 243,943.80/784.42
  6. Step 6: Final answer
    x = 310.99

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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.