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Finding the Fourth Proportional to 1,051.64, 1,578.16 and 402.34

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Solution

The fourth proportional to 1,051.64, 1,578.16 and 402.34 is: 603.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.64 : 1,578.16 = 402.34 : x
  2. Step 2: Convert to fraction form
    1,051.64/1,578.16 = 402.34/x
  3. Step 3: Cross multiply
    1,051.64x = 1,578.16 × 402.34
  4. Step 4: Simplify right side
    1,051.64x = 634,956.89
  5. Step 5: Solve for x
    x = 634,956.89/1,051.64
  6. Step 6: Final answer
    x = 603.78

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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.