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Finding the Fourth Proportional to 780.32, 1,076.50 and 514.42

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Solution

The fourth proportional to 780.32, 1,076.50 and 514.42 is: 709.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.32 : 1,076.50 = 514.42 : x
  2. Step 2: Convert to fraction form
    780.32/1,076.50 = 514.42/x
  3. Step 3: Cross multiply
    780.32x = 1,076.50 × 514.42
  4. Step 4: Simplify right side
    780.32x = 553,769.63
  5. Step 5: Solve for x
    x = 553,769.63/780.32
  6. Step 6: Final answer
    x = 709.67

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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.