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Finding the Fourth Proportional to 1,526.81, 2,290.24 and 486.81

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Solution

The fourth proportional to 1,526.81, 2,290.24 and 486.81 is: 730.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,526.81 : 2,290.24 = 486.81 : x
  2. Step 2: Convert to fraction form
    1,526.81/2,290.24 = 486.81/x
  3. Step 3: Cross multiply
    1,526.81x = 2,290.24 × 486.81
  4. Step 4: Simplify right side
    1,526.81x = 1,114,910.52
  5. Step 5: Solve for x
    x = 1,114,910.52/1,526.81
  6. Step 6: Final answer
    x = 730.22

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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.