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Finding the Fourth Proportional to 1,001.30, 1,501.78 and 270.82

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Solution

The fourth proportional to 1,001.30, 1,501.78 and 270.82 is: 406.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.30 : 1,501.78 = 270.82 : x
  2. Step 2: Convert to fraction form
    1,001.30/1,501.78 = 270.82/x
  3. Step 3: Cross multiply
    1,001.30x = 1,501.78 × 270.82
  4. Step 4: Simplify right side
    1,001.30x = 406,712.06
  5. Step 5: Solve for x
    x = 406,712.06/1,001.30
  6. Step 6: Final answer
    x = 406.18

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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.