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Finding the Fourth Proportional to 756.77, 1,128.10 and 715.73

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Solution

The fourth proportional to 756.77, 1,128.10 and 715.73 is: 1,066.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.77 : 1,128.10 = 715.73 : x
  2. Step 2: Convert to fraction form
    756.77/1,128.10 = 715.73/x
  3. Step 3: Cross multiply
    756.77x = 1,128.10 × 715.73
  4. Step 4: Simplify right side
    756.77x = 807,415.01
  5. Step 5: Solve for x
    x = 807,415.01/756.77
  6. Step 6: Final answer
    x = 1,066.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.