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Finding the Fourth Proportional to 751.64, 1,127.16 and 289.31

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Solution

The fourth proportional to 751.64, 1,127.16 and 289.31 is: 433.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.64 : 1,127.16 = 289.31 : x
  2. Step 2: Convert to fraction form
    751.64/1,127.16 = 289.31/x
  3. Step 3: Cross multiply
    751.64x = 1,127.16 × 289.31
  4. Step 4: Simplify right side
    751.64x = 326,093.02
  5. Step 5: Solve for x
    x = 326,093.02/751.64
  6. Step 6: Final answer
    x = 433.84

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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.