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Finding the Fourth Proportional to 1,306.79, 1,960.12 and 526.55

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Solution

The fourth proportional to 1,306.79, 1,960.12 and 526.55 is: 789.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.79 : 1,960.12 = 526.55 : x
  2. Step 2: Convert to fraction form
    1,306.79/1,960.12 = 526.55/x
  3. Step 3: Cross multiply
    1,306.79x = 1,960.12 × 526.55
  4. Step 4: Simplify right side
    1,306.79x = 1,032,101.19
  5. Step 5: Solve for x
    x = 1,032,101.19/1,306.79
  6. Step 6: Final answer
    x = 789.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.