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Finding the Fourth Proportional to 934.07, 1,289.00 and 514.40

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Solution

The fourth proportional to 934.07, 1,289.00 and 514.40 is: 709.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.07 : 1,289.00 = 514.40 : x
  2. Step 2: Convert to fraction form
    934.07/1,289.00 = 514.40/x
  3. Step 3: Cross multiply
    934.07x = 1,289.00 × 514.40
  4. Step 4: Simplify right side
    934.07x = 663,056.44
  5. Step 5: Solve for x
    x = 663,056.44/934.07
  6. Step 6: Final answer
    x = 709.86

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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.