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Finding the Fourth Proportional to 1,529.08, 2,294.03 and 555.33

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Solution

The fourth proportional to 1,529.08, 2,294.03 and 555.33 is: 833.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,529.08 : 2,294.03 = 555.33 : x
  2. Step 2: Convert to fraction form
    1,529.08/2,294.03 = 555.33/x
  3. Step 3: Cross multiply
    1,529.08x = 2,294.03 × 555.33
  4. Step 4: Simplify right side
    1,529.08x = 1,273,943.68
  5. Step 5: Solve for x
    x = 1,273,943.68/1,529.08
  6. Step 6: Final answer
    x = 833.14

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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.