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Finding the Fourth Proportional to 785.41, 1,178.42 and 460.40

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Solution

The fourth proportional to 785.41, 1,178.42 and 460.40 is: 690.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.41 : 1,178.42 = 460.40 : x
  2. Step 2: Convert to fraction form
    785.41/1,178.42 = 460.40/x
  3. Step 3: Cross multiply
    785.41x = 1,178.42 × 460.40
  4. Step 4: Simplify right side
    785.41x = 542,536.37
  5. Step 5: Solve for x
    x = 542,536.37/785.41
  6. Step 6: Final answer
    x = 690.77

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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.