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Finding the Fourth Proportional to 687.04, 948 and 411.04

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Solution

The fourth proportional to 687.04, 948 and 411.04 is: 567.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.04 : 948 = 411.04 : x
  2. Step 2: Convert to fraction form
    687.04/948 = 411.04/x
  3. Step 3: Cross multiply
    687.04x = 948 × 411.04
  4. Step 4: Simplify right side
    687.04x = 389,665.92
  5. Step 5: Solve for x
    x = 389,665.92/687.04
  6. Step 6: Final answer
    x = 567.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.