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Finding the Fourth Proportional to 1,530.22, 2,294.42 and 604.70

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Solution

The fourth proportional to 1,530.22, 2,294.42 and 604.70 is: 906.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.22 : 2,294.42 = 604.70 : x
  2. Step 2: Convert to fraction form
    1,530.22/2,294.42 = 604.70/x
  3. Step 3: Cross multiply
    1,530.22x = 2,294.42 × 604.70
  4. Step 4: Simplify right side
    1,530.22x = 1,387,432.75
  5. Step 5: Solve for x
    x = 1,387,432.75/1,530.22
  6. Step 6: Final answer
    x = 906.69

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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.