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Finding the Fourth Proportional to 833.94, 1,150.73 and 497.84

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Solution

The fourth proportional to 833.94, 1,150.73 and 497.84 is: 686.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.94 : 1,150.73 = 497.84 : x
  2. Step 2: Convert to fraction form
    833.94/1,150.73 = 497.84/x
  3. Step 3: Cross multiply
    833.94x = 1,150.73 × 497.84
  4. Step 4: Simplify right side
    833.94x = 572,871.18
  5. Step 5: Solve for x
    x = 572,871.18/833.94
  6. Step 6: Final answer
    x = 686.95

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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.