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Finding the Fourth Proportional to 753.62, 1,129.65 and 445.10

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Solution

The fourth proportional to 753.62, 1,129.65 and 445.10 is: 667.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.62 : 1,129.65 = 445.10 : x
  2. Step 2: Convert to fraction form
    753.62/1,129.65 = 445.10/x
  3. Step 3: Cross multiply
    753.62x = 1,129.65 × 445.10
  4. Step 4: Simplify right side
    753.62x = 502,807.22
  5. Step 5: Solve for x
    x = 502,807.22/753.62
  6. Step 6: Final answer
    x = 667.19

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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.