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Finding the Fourth Proportional to 1,051.16, 1,578.40 and 618.60

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Solution

The fourth proportional to 1,051.16, 1,578.40 and 618.60 is: 928.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.16 : 1,578.40 = 618.60 : x
  2. Step 2: Convert to fraction form
    1,051.16/1,578.40 = 618.60/x
  3. Step 3: Cross multiply
    1,051.16x = 1,578.40 × 618.60
  4. Step 4: Simplify right side
    1,051.16x = 976,398.24
  5. Step 5: Solve for x
    x = 976,398.24/1,051.16
  6. Step 6: Final answer
    x = 928.88

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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.