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Finding the Fourth Proportional to 1,030.84, 1,544.22 and 639.60

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Solution

The fourth proportional to 1,030.84, 1,544.22 and 639.60 is: 958.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.84 : 1,544.22 = 639.60 : x
  2. Step 2: Convert to fraction form
    1,030.84/1,544.22 = 639.60/x
  3. Step 3: Cross multiply
    1,030.84x = 1,544.22 × 639.60
  4. Step 4: Simplify right side
    1,030.84x = 987,683.11
  5. Step 5: Solve for x
    x = 987,683.11/1,030.84
  6. Step 6: Final answer
    x = 958.13

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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.