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Finding the Fourth Proportional to 1,272.92, 1,907.42 and 624.10

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Solution

The fourth proportional to 1,272.92, 1,907.42 and 624.10 is: 935.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,272.92 : 1,907.42 = 624.10 : x
  2. Step 2: Convert to fraction form
    1,272.92/1,907.42 = 624.10/x
  3. Step 3: Cross multiply
    1,272.92x = 1,907.42 × 624.10
  4. Step 4: Simplify right side
    1,272.92x = 1,190,420.82
  5. Step 5: Solve for x
    x = 1,190,420.82/1,272.92
  6. Step 6: Final answer
    x = 935.19

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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.