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Finding the Fourth Proportional to 784.68, 1,177.26 and 374.34

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Solution

The fourth proportional to 784.68, 1,177.26 and 374.34 is: 561.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.68 : 1,177.26 = 374.34 : x
  2. Step 2: Convert to fraction form
    784.68/1,177.26 = 374.34/x
  3. Step 3: Cross multiply
    784.68x = 1,177.26 × 374.34
  4. Step 4: Simplify right side
    784.68x = 440,695.51
  5. Step 5: Solve for x
    x = 440,695.51/784.68
  6. Step 6: Final answer
    x = 561.62

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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.