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Finding the Fourth Proportional to 678.11, 1,017.10 and 460.14

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Solution

The fourth proportional to 678.11, 1,017.10 and 460.14 is: 690.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.11 : 1,017.10 = 460.14 : x
  2. Step 2: Convert to fraction form
    678.11/1,017.10 = 460.14/x
  3. Step 3: Cross multiply
    678.11x = 1,017.10 × 460.14
  4. Step 4: Simplify right side
    678.11x = 468,001.01
  5. Step 5: Solve for x
    x = 468,001.01/678.11
  6. Step 6: Final answer
    x = 690.16

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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.