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Finding the Fourth Proportional to 786.74, 1,178.04 and 554.37

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Solution

The fourth proportional to 786.74, 1,178.04 and 554.37 is: 830.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.74 : 1,178.04 = 554.37 : x
  2. Step 2: Convert to fraction form
    786.74/1,178.04 = 554.37/x
  3. Step 3: Cross multiply
    786.74x = 1,178.04 × 554.37
  4. Step 4: Simplify right side
    786.74x = 653,070.03
  5. Step 5: Solve for x
    x = 653,070.03/786.74
  6. Step 6: Final answer
    x = 830.10

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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.