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Finding the Fourth Proportional to 830.15, 1,145.59 and 494.05

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Solution

The fourth proportional to 830.15, 1,145.59 and 494.05 is: 681.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.15 : 1,145.59 = 494.05 : x
  2. Step 2: Convert to fraction form
    830.15/1,145.59 = 494.05/x
  3. Step 3: Cross multiply
    830.15x = 1,145.59 × 494.05
  4. Step 4: Simplify right side
    830.15x = 565,979.57
  5. Step 5: Solve for x
    x = 565,979.57/830.15
  6. Step 6: Final answer
    x = 681.78

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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.