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Finding the Fourth Proportional to 1,009.17, 1,389.29 and 962.73

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Solution

The fourth proportional to 1,009.17, 1,389.29 and 962.73 is: 1,325.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.17 : 1,389.29 = 962.73 : x
  2. Step 2: Convert to fraction form
    1,009.17/1,389.29 = 962.73/x
  3. Step 3: Cross multiply
    1,009.17x = 1,389.29 × 962.73
  4. Step 4: Simplify right side
    1,009.17x = 1,337,506.35
  5. Step 5: Solve for x
    x = 1,337,506.35/1,009.17
  6. Step 6: Final answer
    x = 1,325.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.