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Finding the Fourth Proportional to 784.10, 1,171.55 and 756.86

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Solution

The fourth proportional to 784.10, 1,171.55 and 756.86 is: 1,130.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.10 : 1,171.55 = 756.86 : x
  2. Step 2: Convert to fraction form
    784.10/1,171.55 = 756.86/x
  3. Step 3: Cross multiply
    784.10x = 1,171.55 × 756.86
  4. Step 4: Simplify right side
    784.10x = 886,695.37
  5. Step 5: Solve for x
    x = 886,695.37/784.10
  6. Step 6: Final answer
    x = 1,130.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.