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Finding the Fourth Proportional to 830.29, 1,145.32 and 519.25

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Solution

The fourth proportional to 830.29, 1,145.32 and 519.25 is: 716.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.29 : 1,145.32 = 519.25 : x
  2. Step 2: Convert to fraction form
    830.29/1,145.32 = 519.25/x
  3. Step 3: Cross multiply
    830.29x = 1,145.32 × 519.25
  4. Step 4: Simplify right side
    830.29x = 594,707.41
  5. Step 5: Solve for x
    x = 594,707.41/830.29
  6. Step 6: Final answer
    x = 716.26

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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.