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Finding the Fourth Proportional to 1,250.07, 1,875.11 and 384.38

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Solution

The fourth proportional to 1,250.07, 1,875.11 and 384.38 is: 576.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,250.07 : 1,875.11 = 384.38 : x
  2. Step 2: Convert to fraction form
    1,250.07/1,875.11 = 384.38/x
  3. Step 3: Cross multiply
    1,250.07x = 1,875.11 × 384.38
  4. Step 4: Simplify right side
    1,250.07x = 720,743.48
  5. Step 5: Solve for x
    x = 720,743.48/1,250.07
  6. Step 6: Final answer
    x = 576.56

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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.