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Finding the Fourth Proportional to 1,526.91, 2,288.78 and 602.09

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Solution

The fourth proportional to 1,526.91, 2,288.78 and 602.09 is: 902.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,526.91 : 2,288.78 = 602.09 : x
  2. Step 2: Convert to fraction form
    1,526.91/2,288.78 = 602.09/x
  3. Step 3: Cross multiply
    1,526.91x = 2,288.78 × 602.09
  4. Step 4: Simplify right side
    1,526.91x = 1,378,051.55
  5. Step 5: Solve for x
    x = 1,378,051.55/1,526.91
  6. Step 6: Final answer
    x = 902.51

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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.