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Finding the Fourth Proportional to 956.90, 1,434.14 and 518.13

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Solution

The fourth proportional to 956.90, 1,434.14 and 518.13 is: 776.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.90 : 1,434.14 = 518.13 : x
  2. Step 2: Convert to fraction form
    956.90/1,434.14 = 518.13/x
  3. Step 3: Cross multiply
    956.90x = 1,434.14 × 518.13
  4. Step 4: Simplify right side
    956.90x = 743,068.37
  5. Step 5: Solve for x
    x = 743,068.37/956.90
  6. Step 6: Final answer
    x = 776.54

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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.