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Finding the Fourth Proportional to 934.23, 1,289.27 and 514.60

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Solution

The fourth proportional to 934.23, 1,289.27 and 514.60 is: 710.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.23 : 1,289.27 = 514.60 : x
  2. Step 2: Convert to fraction form
    934.23/1,289.27 = 514.60/x
  3. Step 3: Cross multiply
    934.23x = 1,289.27 × 514.60
  4. Step 4: Simplify right side
    934.23x = 663,460.76
  5. Step 5: Solve for x
    x = 663,460.76/934.23
  6. Step 6: Final answer
    x = 710.17

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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.