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Finding the Fourth Proportional to 1,770.32, 2,654.90 and 600.02

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Solution

The fourth proportional to 1,770.32, 2,654.90 and 600.02 is: 899.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770.32 : 2,654.90 = 600.02 : x
  2. Step 2: Convert to fraction form
    1,770.32/2,654.90 = 600.02/x
  3. Step 3: Cross multiply
    1,770.32x = 2,654.90 × 600.02
  4. Step 4: Simplify right side
    1,770.32x = 1,593,005.65
  5. Step 5: Solve for x
    x = 1,593,005.65/1,770.32
  6. Step 6: Final answer
    x = 899.84

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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.