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Finding the Fourth Proportional to 769.02, 1,152.81 and 509.10

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Solution

The fourth proportional to 769.02, 1,152.81 and 509.10 is: 763.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.02 : 1,152.81 = 509.10 : x
  2. Step 2: Convert to fraction form
    769.02/1,152.81 = 509.10/x
  3. Step 3: Cross multiply
    769.02x = 1,152.81 × 509.10
  4. Step 4: Simplify right side
    769.02x = 586,895.57
  5. Step 5: Solve for x
    x = 586,895.57/769.02
  6. Step 6: Final answer
    x = 763.17

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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.