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Finding the Fourth Proportional to 1,270.01, 1,905.02 and 448.29

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Solution

The fourth proportional to 1,270.01, 1,905.02 and 448.29 is: 672.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270.01 : 1,905.02 = 448.29 : x
  2. Step 2: Convert to fraction form
    1,270.01/1,905.02 = 448.29/x
  3. Step 3: Cross multiply
    1,270.01x = 1,905.02 × 448.29
  4. Step 4: Simplify right side
    1,270.01x = 853,999.17
  5. Step 5: Solve for x
    x = 853,999.17/1,270.01
  6. Step 6: Final answer
    x = 672.44

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Double scale
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1.5x scale

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.