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Finding the Fourth Proportional to 1,403.56, 1,937.01 and 814.30

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Solution

The fourth proportional to 1,403.56, 1,937.01 and 814.30 is: 1,123.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403.56 : 1,937.01 = 814.30 : x
  2. Step 2: Convert to fraction form
    1,403.56/1,937.01 = 814.30/x
  3. Step 3: Cross multiply
    1,403.56x = 1,937.01 × 814.30
  4. Step 4: Simplify right side
    1,403.56x = 1,577,307.24
  5. Step 5: Solve for x
    x = 1,577,307.24/1,403.56
  6. Step 6: Final answer
    x = 1,123.79

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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.