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Finding the Fourth Proportional to 1,530.85, 2,295.15 and 490.25

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Solution

The fourth proportional to 1,530.85, 2,295.15 and 490.25 is: 735.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.85 : 2,295.15 = 490.25 : x
  2. Step 2: Convert to fraction form
    1,530.85/2,295.15 = 490.25/x
  3. Step 3: Cross multiply
    1,530.85x = 2,295.15 × 490.25
  4. Step 4: Simplify right side
    1,530.85x = 1,125,197.29
  5. Step 5: Solve for x
    x = 1,125,197.29/1,530.85
  6. Step 6: Final answer
    x = 735.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.