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Finding the Fourth Proportional to 885.13, 1,327.20 and 782.62

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Solution

The fourth proportional to 885.13, 1,327.20 and 782.62 is: 1,173.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.13 : 1,327.20 = 782.62 : x
  2. Step 2: Convert to fraction form
    885.13/1,327.20 = 782.62/x
  3. Step 3: Cross multiply
    885.13x = 1,327.20 × 782.62
  4. Step 4: Simplify right side
    885.13x = 1,038,693.26
  5. Step 5: Solve for x
    x = 1,038,693.26/885.13
  6. Step 6: Final answer
    x = 1,173.49

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Why These Related Problems?

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