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Finding the Fourth Proportional to 833.60, 1,245.52 and 833.60

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Solution

The fourth proportional to 833.60, 1,245.52 and 833.60 is: 1,245.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.60 : 1,245.52 = 833.60 : x
  2. Step 2: Convert to fraction form
    833.60/1,245.52 = 833.60/x
  3. Step 3: Cross multiply
    833.60x = 1,245.52 × 833.60
  4. Step 4: Simplify right side
    833.60x = 1,038,265.47
  5. Step 5: Solve for x
    x = 1,038,265.47/833.60
  6. Step 6: Final answer
    x = 1,245.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.