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Finding the Fourth Proportional to 880.04, 1,318.34 and 514.08

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Solution

The fourth proportional to 880.04, 1,318.34 and 514.08 is: 770.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.04 : 1,318.34 = 514.08 : x
  2. Step 2: Convert to fraction form
    880.04/1,318.34 = 514.08/x
  3. Step 3: Cross multiply
    880.04x = 1,318.34 × 514.08
  4. Step 4: Simplify right side
    880.04x = 677,732.23
  5. Step 5: Solve for x
    x = 677,732.23/880.04
  6. Step 6: Final answer
    x = 770.12

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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.