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Finding the Fourth Proportional to 1,306.15, 1,801.78 and 782.08

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Solution

The fourth proportional to 1,306.15, 1,801.78 and 782.08 is: 1,078.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.15 : 1,801.78 = 782.08 : x
  2. Step 2: Convert to fraction form
    1,306.15/1,801.78 = 782.08/x
  3. Step 3: Cross multiply
    1,306.15x = 1,801.78 × 782.08
  4. Step 4: Simplify right side
    1,306.15x = 1,409,136.10
  5. Step 5: Solve for x
    x = 1,409,136.10/1,306.15
  6. Step 6: Final answer
    x = 1,078.85

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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.