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Finding the Fourth Proportional to 830.81, 1,146.42 and 499.16

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Solution

The fourth proportional to 830.81, 1,146.42 and 499.16 is: 688.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.81 : 1,146.42 = 499.16 : x
  2. Step 2: Convert to fraction form
    830.81/1,146.42 = 499.16/x
  3. Step 3: Cross multiply
    830.81x = 1,146.42 × 499.16
  4. Step 4: Simplify right side
    830.81x = 572,241.28
  5. Step 5: Solve for x
    x = 572,241.28/830.81
  6. Step 6: Final answer
    x = 688.78

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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.