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Finding the Fourth Proportional to 1,178.76, 1,766.93 and 398.51

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Solution

The fourth proportional to 1,178.76, 1,766.93 and 398.51 is: 597.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.76 : 1,766.93 = 398.51 : x
  2. Step 2: Convert to fraction form
    1,178.76/1,766.93 = 398.51/x
  3. Step 3: Cross multiply
    1,178.76x = 1,766.93 × 398.51
  4. Step 4: Simplify right side
    1,178.76x = 704,137.31
  5. Step 5: Solve for x
    x = 704,137.31/1,178.76
  6. Step 6: Final answer
    x = 597.35

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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.