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Finding the Fourth Proportional to 833.60, 1,149.98 and 502.04

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Solution

The fourth proportional to 833.60, 1,149.98 and 502.04 is: 692.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.60 : 1,149.98 = 502.04 : x
  2. Step 2: Convert to fraction form
    833.60/1,149.98 = 502.04/x
  3. Step 3: Cross multiply
    833.60x = 1,149.98 × 502.04
  4. Step 4: Simplify right side
    833.60x = 577,335.96
  5. Step 5: Solve for x
    x = 577,335.96/833.60
  6. Step 6: Final answer
    x = 692.58

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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.