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Finding the Fourth Proportional to 1,178.78, 1,768.72 and 602.06

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Solution

The fourth proportional to 1,178.78, 1,768.72 and 602.06 is: 903.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.78 : 1,768.72 = 602.06 : x
  2. Step 2: Convert to fraction form
    1,178.78/1,768.72 = 602.06/x
  3. Step 3: Cross multiply
    1,178.78x = 1,768.72 × 602.06
  4. Step 4: Simplify right side
    1,178.78x = 1,064,875.56
  5. Step 5: Solve for x
    x = 1,064,875.56/1,178.78
  6. Step 6: Final answer
    x = 903.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.