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Finding the Fourth Proportional to 1,174.64, 1,620.54 and 754.93

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Solution

The fourth proportional to 1,174.64, 1,620.54 and 754.93 is: 1,041.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,174.64 : 1,620.54 = 754.93 : x
  2. Step 2: Convert to fraction form
    1,174.64/1,620.54 = 754.93/x
  3. Step 3: Cross multiply
    1,174.64x = 1,620.54 × 754.93
  4. Step 4: Simplify right side
    1,174.64x = 1,223,391.73
  5. Step 5: Solve for x
    x = 1,223,391.73/1,174.64
  6. Step 6: Final answer
    x = 1,041.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.