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Finding the Fourth Proportional to 830.43, 1,146.02 and 457.43

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Solution

The fourth proportional to 830.43, 1,146.02 and 457.43 is: 631.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.43 : 1,146.02 = 457.43 : x
  2. Step 2: Convert to fraction form
    830.43/1,146.02 = 457.43/x
  3. Step 3: Cross multiply
    830.43x = 1,146.02 × 457.43
  4. Step 4: Simplify right side
    830.43x = 524,215.91
  5. Step 5: Solve for x
    x = 524,215.91/830.43
  6. Step 6: Final answer
    x = 631.26

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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.