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Finding the Fourth Proportional to 784.40, 1,176.64 and 207.24

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Solution

The fourth proportional to 784.40, 1,176.64 and 207.24 is: 310.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.40 : 1,176.64 = 207.24 : x
  2. Step 2: Convert to fraction form
    784.40/1,176.64 = 207.24/x
  3. Step 3: Cross multiply
    784.40x = 1,176.64 × 207.24
  4. Step 4: Simplify right side
    784.40x = 243,846.87
  5. Step 5: Solve for x
    x = 243,846.87/784.40
  6. Step 6: Final answer
    x = 310.87

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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.