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Finding the Fourth Proportional to 785.91, 1,177.21 and 374.63

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Solution

The fourth proportional to 785.91, 1,177.21 and 374.63 is: 561.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.91 : 1,177.21 = 374.63 : x
  2. Step 2: Convert to fraction form
    785.91/1,177.21 = 374.63/x
  3. Step 3: Cross multiply
    785.91x = 1,177.21 × 374.63
  4. Step 4: Simplify right side
    785.91x = 441,018.18
  5. Step 5: Solve for x
    x = 441,018.18/785.91
  6. Step 6: Final answer
    x = 561.16

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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.