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Finding the Fourth Proportional to 943.48, 1,412.94 and 509.56

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Solution

The fourth proportional to 943.48, 1,412.94 and 509.56 is: 763.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.48 : 1,412.94 = 509.56 : x
  2. Step 2: Convert to fraction form
    943.48/1,412.94 = 509.56/x
  3. Step 3: Cross multiply
    943.48x = 1,412.94 × 509.56
  4. Step 4: Simplify right side
    943.48x = 719,977.71
  5. Step 5: Solve for x
    x = 719,977.71/943.48
  6. Step 6: Final answer
    x = 763.11

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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.