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Finding the Fourth Proportional to 784.34, 1,176.59 and 781.14

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Solution

The fourth proportional to 784.34, 1,176.59 and 781.14 is: 1,171.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.34 : 1,176.59 = 781.14 : x
  2. Step 2: Convert to fraction form
    784.34/1,176.59 = 781.14/x
  3. Step 3: Cross multiply
    784.34x = 1,176.59 × 781.14
  4. Step 4: Simplify right side
    784.34x = 919,081.51
  5. Step 5: Solve for x
    x = 919,081.51/784.34
  6. Step 6: Final answer
    x = 1,171.79

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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.