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Finding the Fourth Proportional to 784.32, 1,176.51 and 207.18

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Solution

The fourth proportional to 784.32, 1,176.51 and 207.18 is: 310.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.32 : 1,176.51 = 207.18 : x
  2. Step 2: Convert to fraction form
    784.32/1,176.51 = 207.18/x
  3. Step 3: Cross multiply
    784.32x = 1,176.51 × 207.18
  4. Step 4: Simplify right side
    784.32x = 243,749.34
  5. Step 5: Solve for x
    x = 243,749.34/784.32
  6. Step 6: Final answer
    x = 310.78

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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.