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Finding the Fourth Proportional to 784.55, 1,176.83 and 265.14

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Solution

The fourth proportional to 784.55, 1,176.83 and 265.14 is: 397.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.55 : 1,176.83 = 265.14 : x
  2. Step 2: Convert to fraction form
    784.55/1,176.83 = 265.14/x
  3. Step 3: Cross multiply
    784.55x = 1,176.83 × 265.14
  4. Step 4: Simplify right side
    784.55x = 312,024.71
  5. Step 5: Solve for x
    x = 312,024.71/784.55
  6. Step 6: Final answer
    x = 397.71

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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.