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Finding the Fourth Proportional to 1,230.89, 1,697.06 and 788.04

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Solution

The fourth proportional to 1,230.89, 1,697.06 and 788.04 is: 1,086.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.89 : 1,697.06 = 788.04 : x
  2. Step 2: Convert to fraction form
    1,230.89/1,697.06 = 788.04/x
  3. Step 3: Cross multiply
    1,230.89x = 1,697.06 × 788.04
  4. Step 4: Simplify right side
    1,230.89x = 1,337,353.13
  5. Step 5: Solve for x
    x = 1,337,353.13/1,230.89
  6. Step 6: Final answer
    x = 1,086.50

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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.