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Finding the Fourth Proportional to 953.40, 1,428.56 and 587.44

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Solution

The fourth proportional to 953.40, 1,428.56 and 587.44 is: 880.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.40 : 1,428.56 = 587.44 : x
  2. Step 2: Convert to fraction form
    953.40/1,428.56 = 587.44/x
  3. Step 3: Cross multiply
    953.40x = 1,428.56 × 587.44
  4. Step 4: Simplify right side
    953.40x = 839,193.29
  5. Step 5: Solve for x
    x = 839,193.29/953.40
  6. Step 6: Final answer
    x = 880.21

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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.