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Finding the Fourth Proportional to 1,274.76, 1,759.19 and 715.20

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Solution

The fourth proportional to 1,274.76, 1,759.19 and 715.20 is: 986.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.76 : 1,759.19 = 715.20 : x
  2. Step 2: Convert to fraction form
    1,274.76/1,759.19 = 715.20/x
  3. Step 3: Cross multiply
    1,274.76x = 1,759.19 × 715.20
  4. Step 4: Simplify right side
    1,274.76x = 1,258,174.48
  5. Step 5: Solve for x
    x = 1,258,174.48/1,274.76
  6. Step 6: Final answer
    x = 986.99

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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.