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Finding the Fourth Proportional to 1,230.59, 1,705.54 and 1,207.55

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Solution

The fourth proportional to 1,230.59, 1,705.54 and 1,207.55 is: 1,673.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.59 : 1,705.54 = 1,207.55 : x
  2. Step 2: Convert to fraction form
    1,230.59/1,705.54 = 1,207.55/x
  3. Step 3: Cross multiply
    1,230.59x = 1,705.54 × 1,207.55
  4. Step 4: Simplify right side
    1,230.59x = 2,059,510.26
  5. Step 5: Solve for x
    x = 2,059,510.26/1,230.59
  6. Step 6: Final answer
    x = 1,673.60

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.