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Finding the Fourth Proportional to 1,178.73, 1,768.29 and 357.03

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Solution

The fourth proportional to 1,178.73, 1,768.29 and 357.03 is: 535.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.73 : 1,768.29 = 357.03 : x
  2. Step 2: Convert to fraction form
    1,178.73/1,768.29 = 357.03/x
  3. Step 3: Cross multiply
    1,178.73x = 1,768.29 × 357.03
  4. Step 4: Simplify right side
    1,178.73x = 631,332.58
  5. Step 5: Solve for x
    x = 631,332.58/1,178.73
  6. Step 6: Final answer
    x = 535.60

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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.