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Finding the Fourth Proportional to 829.99, 1,145.72 and 515.32

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Solution

The fourth proportional to 829.99, 1,145.72 and 515.32 is: 711.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.99 : 1,145.72 = 515.32 : x
  2. Step 2: Convert to fraction form
    829.99/1,145.72 = 515.32/x
  3. Step 3: Cross multiply
    829.99x = 1,145.72 × 515.32
  4. Step 4: Simplify right side
    829.99x = 590,412.43
  5. Step 5: Solve for x
    x = 590,412.43/829.99
  6. Step 6: Final answer
    x = 711.35

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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.