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Finding the Fourth Proportional to 1,307.73, 1,805.50 and 1,009.61

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Solution

The fourth proportional to 1,307.73, 1,805.50 and 1,009.61 is: 1,393.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.73 : 1,805.50 = 1,009.61 : x
  2. Step 2: Convert to fraction form
    1,307.73/1,805.50 = 1,009.61/x
  3. Step 3: Cross multiply
    1,307.73x = 1,805.50 × 1,009.61
  4. Step 4: Simplify right side
    1,307.73x = 1,822,850.86
  5. Step 5: Solve for x
    x = 1,822,850.86/1,307.73
  6. Step 6: Final answer
    x = 1,393.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.