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Finding the Fourth Proportional to 1,046.35, 1,567.40 and 839.80

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Solution

The fourth proportional to 1,046.35, 1,567.40 and 839.80 is: 1,257.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.35 : 1,567.40 = 839.80 : x
  2. Step 2: Convert to fraction form
    1,046.35/1,567.40 = 839.80/x
  3. Step 3: Cross multiply
    1,046.35x = 1,567.40 × 839.80
  4. Step 4: Simplify right side
    1,046.35x = 1,316,294.40
  5. Step 5: Solve for x
    x = 1,316,294.40/1,046.35
  6. Step 6: Final answer
    x = 1,257.99

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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.