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Finding the Fourth Proportional to 1,530.18, 2,295.50 and 490.10

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Solution

The fourth proportional to 1,530.18, 2,295.50 and 490.10 is: 735.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.18 : 2,295.50 = 490.10 : x
  2. Step 2: Convert to fraction form
    1,530.18/2,295.50 = 490.10/x
  3. Step 3: Cross multiply
    1,530.18x = 2,295.50 × 490.10
  4. Step 4: Simplify right side
    1,530.18x = 1,125,010.62
  5. Step 5: Solve for x
    x = 1,125,010.62/1,530.18
  6. Step 6: Final answer
    x = 735.21

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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.