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Finding the Fourth Proportional to 885.80, 1,327.10 and 783.40

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Solution

The fourth proportional to 885.80, 1,327.10 and 783.40 is: 1,173.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.80 : 1,327.10 = 783.40 : x
  2. Step 2: Convert to fraction form
    885.80/1,327.10 = 783.40/x
  3. Step 3: Cross multiply
    885.80x = 1,327.10 × 783.40
  4. Step 4: Simplify right side
    885.80x = 1,039,650.14
  5. Step 5: Solve for x
    x = 1,039,650.14/885.80
  6. Step 6: Final answer
    x = 1,173.68

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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.