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Finding the Fourth Proportional to 1,530.87, 2,296.52 and 490.91

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Solution

The fourth proportional to 1,530.87, 2,296.52 and 490.91 is: 736.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.87 : 2,296.52 = 490.91 : x
  2. Step 2: Convert to fraction form
    1,530.87/2,296.52 = 490.91/x
  3. Step 3: Cross multiply
    1,530.87x = 2,296.52 × 490.91
  4. Step 4: Simplify right side
    1,530.87x = 1,127,370.70
  5. Step 5: Solve for x
    x = 1,127,370.70/1,530.87
  6. Step 6: Final answer
    x = 736.42

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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.