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Finding the Fourth Proportional to 784.51, 1,176.77 and 257.41

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Solution

The fourth proportional to 784.51, 1,176.77 and 257.41 is: 386.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.51 : 1,176.77 = 257.41 : x
  2. Step 2: Convert to fraction form
    784.51/1,176.77 = 257.41/x
  3. Step 3: Cross multiply
    784.51x = 1,176.77 × 257.41
  4. Step 4: Simplify right side
    784.51x = 302,914.48
  5. Step 5: Solve for x
    x = 302,914.48/784.51
  6. Step 6: Final answer
    x = 386.12

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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.