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Finding the Fourth Proportional to 830.84, 1,146.49 and 516.10

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Solution

The fourth proportional to 830.84, 1,146.49 and 516.10 is: 712.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.84 : 1,146.49 = 516.10 : x
  2. Step 2: Convert to fraction form
    830.84/1,146.49 = 516.10/x
  3. Step 3: Cross multiply
    830.84x = 1,146.49 × 516.10
  4. Step 4: Simplify right side
    830.84x = 591,697.76
  5. Step 5: Solve for x
    x = 591,697.76/830.84
  6. Step 6: Final answer
    x = 712.17

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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.