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Finding the Fourth Proportional to 678.46, 1,017.62 and 435.10

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Solution

The fourth proportional to 678.46, 1,017.62 and 435.10 is: 652.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.46 : 1,017.62 = 435.10 : x
  2. Step 2: Convert to fraction form
    678.46/1,017.62 = 435.10/x
  3. Step 3: Cross multiply
    678.46x = 1,017.62 × 435.10
  4. Step 4: Simplify right side
    678.46x = 442,766.46
  5. Step 5: Solve for x
    x = 442,766.46/678.46
  6. Step 6: Final answer
    x = 652.61

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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.