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Finding the Fourth Proportional to 751.59, 1,126.77 and 289.29

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Solution

The fourth proportional to 751.59, 1,126.77 and 289.29 is: 433.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.59 : 1,126.77 = 289.29 : x
  2. Step 2: Convert to fraction form
    751.59/1,126.77 = 289.29/x
  3. Step 3: Cross multiply
    751.59x = 1,126.77 × 289.29
  4. Step 4: Simplify right side
    751.59x = 325,963.29
  5. Step 5: Solve for x
    x = 325,963.29/751.59
  6. Step 6: Final answer
    x = 433.70

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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.