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Finding the Fourth Proportional to 678.65, 1,017.93 and 268.12

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Solution

The fourth proportional to 678.65, 1,017.93 and 268.12 is: 402.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.65 : 1,017.93 = 268.12 : x
  2. Step 2: Convert to fraction form
    678.65/1,017.93 = 268.12/x
  3. Step 3: Cross multiply
    678.65x = 1,017.93 × 268.12
  4. Step 4: Simplify right side
    678.65x = 272,927.39
  5. Step 5: Solve for x
    x = 272,927.39/678.65
  6. Step 6: Final answer
    x = 402.16

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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.