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Finding the Fourth Proportional to 1,120.43, 1,681.07 and 504.42

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Solution

The fourth proportional to 1,120.43, 1,681.07 and 504.42 is: 756.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.43 : 1,681.07 = 504.42 : x
  2. Step 2: Convert to fraction form
    1,120.43/1,681.07 = 504.42/x
  3. Step 3: Cross multiply
    1,120.43x = 1,681.07 × 504.42
  4. Step 4: Simplify right side
    1,120.43x = 847,962.81
  5. Step 5: Solve for x
    x = 847,962.81/1,120.43
  6. Step 6: Final answer
    x = 756.82

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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.