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Finding the Fourth Proportional to 1,041.82, 1,437.68 and 622.07

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Solution

The fourth proportional to 1,041.82, 1,437.68 and 622.07 is: 858.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041.82 : 1,437.68 = 622.07 : x
  2. Step 2: Convert to fraction form
    1,041.82/1,437.68 = 622.07/x
  3. Step 3: Cross multiply
    1,041.82x = 1,437.68 × 622.07
  4. Step 4: Simplify right side
    1,041.82x = 894,341.94
  5. Step 5: Solve for x
    x = 894,341.94/1,041.82
  6. Step 6: Final answer
    x = 858.44

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