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Finding the Fourth Proportional to 754.80, 1,130.96 and 465.64

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Solution

The fourth proportional to 754.80, 1,130.96 and 465.64 is: 697.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.80 : 1,130.96 = 465.64 : x
  2. Step 2: Convert to fraction form
    754.80/1,130.96 = 465.64/x
  3. Step 3: Cross multiply
    754.80x = 1,130.96 × 465.64
  4. Step 4: Simplify right side
    754.80x = 526,620.21
  5. Step 5: Solve for x
    x = 526,620.21/754.80
  6. Step 6: Final answer
    x = 697.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.