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Finding the Fourth Proportional to 833.63, 1,149.75 and 519.08

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Solution

The fourth proportional to 833.63, 1,149.75 and 519.08 is: 715.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.63 : 1,149.75 = 519.08 : x
  2. Step 2: Convert to fraction form
    833.63/1,149.75 = 519.08/x
  3. Step 3: Cross multiply
    833.63x = 1,149.75 × 519.08
  4. Step 4: Simplify right side
    833.63x = 596,806.48
  5. Step 5: Solve for x
    x = 596,806.48/833.63
  6. Step 6: Final answer
    x = 715.92

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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.