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Finding the Fourth Proportional to 1,088.14, 1,501.46 and 715.27

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Solution

The fourth proportional to 1,088.14, 1,501.46 and 715.27 is: 986.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088.14 : 1,501.46 = 715.27 : x
  2. Step 2: Convert to fraction form
    1,088.14/1,501.46 = 715.27/x
  3. Step 3: Cross multiply
    1,088.14x = 1,501.46 × 715.27
  4. Step 4: Simplify right side
    1,088.14x = 1,073,945.54
  5. Step 5: Solve for x
    x = 1,073,945.54/1,088.14
  6. Step 6: Final answer
    x = 986.96

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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.