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Finding the Fourth Proportional to 1,005.66, 1,508.56 and 420.44

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Solution

The fourth proportional to 1,005.66, 1,508.56 and 420.44 is: 630.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.66 : 1,508.56 = 420.44 : x
  2. Step 2: Convert to fraction form
    1,005.66/1,508.56 = 420.44/x
  3. Step 3: Cross multiply
    1,005.66x = 1,508.56 × 420.44
  4. Step 4: Simplify right side
    1,005.66x = 634,258.97
  5. Step 5: Solve for x
    x = 634,258.97/1,005.66
  6. Step 6: Final answer
    x = 630.69

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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.