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Finding the Fourth Proportional to 934.49, 1,289.59 and 514.83

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Solution

The fourth proportional to 934.49, 1,289.59 and 514.83 is: 710.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.49 : 1,289.59 = 514.83 : x
  2. Step 2: Convert to fraction form
    934.49/1,289.59 = 514.83/x
  3. Step 3: Cross multiply
    934.49x = 1,289.59 × 514.83
  4. Step 4: Simplify right side
    934.49x = 663,924.43
  5. Step 5: Solve for x
    x = 663,924.43/934.49
  6. Step 6: Final answer
    x = 710.47

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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.