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Finding the Fourth Proportional to 1,369.49, 2,052.50 and 588.57

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Solution

The fourth proportional to 1,369.49, 2,052.50 and 588.57 is: 882.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,369.49 : 2,052.50 = 588.57 : x
  2. Step 2: Convert to fraction form
    1,369.49/2,052.50 = 588.57/x
  3. Step 3: Cross multiply
    1,369.49x = 2,052.50 × 588.57
  4. Step 4: Simplify right side
    1,369.49x = 1,208,036.98
  5. Step 5: Solve for x
    x = 1,208,036.98/1,369.49
  6. Step 6: Final answer
    x = 882.11

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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.