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Finding the Fourth Proportional to 1,042.30, 1,437.72 and 622.36

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Solution

The fourth proportional to 1,042.30, 1,437.72 and 622.36 is: 858.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.30 : 1,437.72 = 622.36 : x
  2. Step 2: Convert to fraction form
    1,042.30/1,437.72 = 622.36/x
  3. Step 3: Cross multiply
    1,042.30x = 1,437.72 × 622.36
  4. Step 4: Simplify right side
    1,042.30x = 894,779.42
  5. Step 5: Solve for x
    x = 894,779.42/1,042.30
  6. Step 6: Final answer
    x = 858.47

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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.