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Finding the Fourth Proportional to 1,001.05, 1,501.61 and 270.63

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Solution

The fourth proportional to 1,001.05, 1,501.61 and 270.63 is: 405.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.05 : 1,501.61 = 270.63 : x
  2. Step 2: Convert to fraction form
    1,001.05/1,501.61 = 270.63/x
  3. Step 3: Cross multiply
    1,001.05x = 1,501.61 × 270.63
  4. Step 4: Simplify right side
    1,001.05x = 406,380.71
  5. Step 5: Solve for x
    x = 406,380.71/1,001.05
  6. Step 6: Final answer
    x = 405.95

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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.