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Finding the Fourth Proportional to 943.38, 1,416.69 and 510.84

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Solution

The fourth proportional to 943.38, 1,416.69 and 510.84 is: 767.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.38 : 1,416.69 = 510.84 : x
  2. Step 2: Convert to fraction form
    943.38/1,416.69 = 510.84/x
  3. Step 3: Cross multiply
    943.38x = 1,416.69 × 510.84
  4. Step 4: Simplify right side
    943.38x = 723,701.92
  5. Step 5: Solve for x
    x = 723,701.92/943.38
  6. Step 6: Final answer
    x = 767.14

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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.