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Finding the Fourth Proportional to 753.72, 1,129.10 and 590.64

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Solution

The fourth proportional to 753.72, 1,129.10 and 590.64 is: 884.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.72 : 1,129.10 = 590.64 : x
  2. Step 2: Convert to fraction form
    753.72/1,129.10 = 590.64/x
  3. Step 3: Cross multiply
    753.72x = 1,129.10 × 590.64
  4. Step 4: Simplify right side
    753.72x = 666,891.62
  5. Step 5: Solve for x
    x = 666,891.62/753.72
  6. Step 6: Final answer
    x = 884.80

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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.