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Finding the Fourth Proportional to 1,139.37, 1,715.28 and 776.46

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Solution

The fourth proportional to 1,139.37, 1,715.28 and 776.46 is: 1,168.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.37 : 1,715.28 = 776.46 : x
  2. Step 2: Convert to fraction form
    1,139.37/1,715.28 = 776.46/x
  3. Step 3: Cross multiply
    1,139.37x = 1,715.28 × 776.46
  4. Step 4: Simplify right side
    1,139.37x = 1,331,845.01
  5. Step 5: Solve for x
    x = 1,331,845.01/1,139.37
  6. Step 6: Final answer
    x = 1,168.93

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.