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Finding the Fourth Proportional to 1,088.45, 1,631.69 and 503.15

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Solution

The fourth proportional to 1,088.45, 1,631.69 and 503.15 is: 754.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088.45 : 1,631.69 = 503.15 : x
  2. Step 2: Convert to fraction form
    1,088.45/1,631.69 = 503.15/x
  3. Step 3: Cross multiply
    1,088.45x = 1,631.69 × 503.15
  4. Step 4: Simplify right side
    1,088.45x = 820,974.15
  5. Step 5: Solve for x
    x = 820,974.15/1,088.45
  6. Step 6: Final answer
    x = 754.26

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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.