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Finding the Fourth Proportional to 829.95, 1,145.34 and 515.19

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Solution

The fourth proportional to 829.95, 1,145.34 and 515.19 is: 710.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.95 : 1,145.34 = 515.19 : x
  2. Step 2: Convert to fraction form
    829.95/1,145.34 = 515.19/x
  3. Step 3: Cross multiply
    829.95x = 1,145.34 × 515.19
  4. Step 4: Simplify right side
    829.95x = 590,072.01
  5. Step 5: Solve for x
    x = 590,072.01/829.95
  6. Step 6: Final answer
    x = 710.98

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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.