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Finding the Fourth Proportional to 784.72, 1,179.61 and 632.35

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Solution

The fourth proportional to 784.72, 1,179.61 and 632.35 is: 950.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.72 : 1,179.61 = 632.35 : x
  2. Step 2: Convert to fraction form
    784.72/1,179.61 = 632.35/x
  3. Step 3: Cross multiply
    784.72x = 1,179.61 × 632.35
  4. Step 4: Simplify right side
    784.72x = 745,926.38
  5. Step 5: Solve for x
    x = 745,926.38/784.72
  6. Step 6: Final answer
    x = 950.56

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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.