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Finding the Fourth Proportional to 1,052.38, 1,578.64 and 436.11

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Solution

The fourth proportional to 1,052.38, 1,578.64 and 436.11 is: 654.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.38 : 1,578.64 = 436.11 : x
  2. Step 2: Convert to fraction form
    1,052.38/1,578.64 = 436.11/x
  3. Step 3: Cross multiply
    1,052.38x = 1,578.64 × 436.11
  4. Step 4: Simplify right side
    1,052.38x = 688,460.69
  5. Step 5: Solve for x
    x = 688,460.69/1,052.38
  6. Step 6: Final answer
    x = 654.19

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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.