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Finding the Fourth Proportional to 1,005.62, 1,508.64 and 420.64

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Solution

The fourth proportional to 1,005.62, 1,508.64 and 420.64 is: 631.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.62 : 1,508.64 = 420.64 : x
  2. Step 2: Convert to fraction form
    1,005.62/1,508.64 = 420.64/x
  3. Step 3: Cross multiply
    1,005.62x = 1,508.64 × 420.64
  4. Step 4: Simplify right side
    1,005.62x = 634,599.83
  5. Step 5: Solve for x
    x = 634,599.83/1,005.62
  6. Step 6: Final answer
    x = 631.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.