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Finding the Fourth Proportional to 1,088.34, 1,630.26 and 723.30

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Solution

The fourth proportional to 1,088.34, 1,630.26 and 723.30 is: 1,083.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088.34 : 1,630.26 = 723.30 : x
  2. Step 2: Convert to fraction form
    1,088.34/1,630.26 = 723.30/x
  3. Step 3: Cross multiply
    1,088.34x = 1,630.26 × 723.30
  4. Step 4: Simplify right side
    1,088.34x = 1,179,167.06
  5. Step 5: Solve for x
    x = 1,179,167.06/1,088.34
  6. Step 6: Final answer
    x = 1,083.45

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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.