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Finding the Fourth Proportional to 1,285.82, 1,774.28 and 788.60

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Solution

The fourth proportional to 1,285.82, 1,774.28 and 788.60 is: 1,088.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.82 : 1,774.28 = 788.60 : x
  2. Step 2: Convert to fraction form
    1,285.82/1,774.28 = 788.60/x
  3. Step 3: Cross multiply
    1,285.82x = 1,774.28 × 788.60
  4. Step 4: Simplify right side
    1,285.82x = 1,399,197.21
  5. Step 5: Solve for x
    x = 1,399,197.21/1,285.82
  6. Step 6: Final answer
    x = 1,088.18

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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.