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Finding the Fourth Proportional to 678.52, 1,011.94 and 612.90

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Solution

The fourth proportional to 678.52, 1,011.94 and 612.90 is: 914.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.52 : 1,011.94 = 612.90 : x
  2. Step 2: Convert to fraction form
    678.52/1,011.94 = 612.90/x
  3. Step 3: Cross multiply
    678.52x = 1,011.94 × 612.90
  4. Step 4: Simplify right side
    678.52x = 620,218.03
  5. Step 5: Solve for x
    x = 620,218.03/678.52
  6. Step 6: Final answer
    x = 914.07

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.