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Finding the Fourth Proportional to 1,403.64, 1,937.26 and 814.06

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Solution

The fourth proportional to 1,403.64, 1,937.26 and 814.06 is: 1,123.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403.64 : 1,937.26 = 814.06 : x
  2. Step 2: Convert to fraction form
    1,403.64/1,937.26 = 814.06/x
  3. Step 3: Cross multiply
    1,403.64x = 1,937.26 × 814.06
  4. Step 4: Simplify right side
    1,403.64x = 1,577,045.88
  5. Step 5: Solve for x
    x = 1,577,045.88/1,403.64
  6. Step 6: Final answer
    x = 1,123.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.