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Finding the Fourth Proportional to 784.35, 1,176.26 and 553.77

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Solution

The fourth proportional to 784.35, 1,176.26 and 553.77 is: 830.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.35 : 1,176.26 = 553.77 : x
  2. Step 2: Convert to fraction form
    784.35/1,176.26 = 553.77/x
  3. Step 3: Cross multiply
    784.35x = 1,176.26 × 553.77
  4. Step 4: Simplify right side
    784.35x = 651,374.73
  5. Step 5: Solve for x
    x = 651,374.73/784.35
  6. Step 6: Final answer
    x = 830.46

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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.