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Finding the Fourth Proportional to 678.46, 1,012.04 and 612.84

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Solution

The fourth proportional to 678.46, 1,012.04 and 612.84 is: 914.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.46 : 1,012.04 = 612.84 : x
  2. Step 2: Convert to fraction form
    678.46/1,012.04 = 612.84/x
  3. Step 3: Cross multiply
    678.46x = 1,012.04 × 612.84
  4. Step 4: Simplify right side
    678.46x = 620,218.59
  5. Step 5: Solve for x
    x = 620,218.59/678.46
  6. Step 6: Final answer
    x = 914.16

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Why These Related Problems?

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