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Finding the Fourth Proportional to 1,530.75, 2,296.14 and 490.77

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Solution

The fourth proportional to 1,530.75, 2,296.14 and 490.77 is: 736.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.75 : 2,296.14 = 490.77 : x
  2. Step 2: Convert to fraction form
    1,530.75/2,296.14 = 490.77/x
  3. Step 3: Cross multiply
    1,530.75x = 2,296.14 × 490.77
  4. Step 4: Simplify right side
    1,530.75x = 1,126,876.63
  5. Step 5: Solve for x
    x = 1,126,876.63/1,530.75
  6. Step 6: Final answer
    x = 736.16

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Half scale
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1.5x scale

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.