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Finding the Fourth Proportional to 1,145.80, 1,719.05 and 487.33

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Solution

The fourth proportional to 1,145.80, 1,719.05 and 487.33 is: 731.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.80 : 1,719.05 = 487.33 : x
  2. Step 2: Convert to fraction form
    1,145.80/1,719.05 = 487.33/x
  3. Step 3: Cross multiply
    1,145.80x = 1,719.05 × 487.33
  4. Step 4: Simplify right side
    1,145.80x = 837,744.64
  5. Step 5: Solve for x
    x = 837,744.64/1,145.80
  6. Step 6: Final answer
    x = 731.14

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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.