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Finding the Fourth Proportional to 1,084.76, 1,496.50 and 711.26

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Solution

The fourth proportional to 1,084.76, 1,496.50 and 711.26 is: 981.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.76 : 1,496.50 = 711.26 : x
  2. Step 2: Convert to fraction form
    1,084.76/1,496.50 = 711.26/x
  3. Step 3: Cross multiply
    1,084.76x = 1,496.50 × 711.26
  4. Step 4: Simplify right side
    1,084.76x = 1,064,400.59
  5. Step 5: Solve for x
    x = 1,064,400.59/1,084.76
  6. Step 6: Final answer
    x = 981.23

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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.