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Finding the Fourth Proportional to 1,295.37, 1,943.38 and 417.95

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Solution

The fourth proportional to 1,295.37, 1,943.38 and 417.95 is: 627.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295.37 : 1,943.38 = 417.95 : x
  2. Step 2: Convert to fraction form
    1,295.37/1,943.38 = 417.95/x
  3. Step 3: Cross multiply
    1,295.37x = 1,943.38 × 417.95
  4. Step 4: Simplify right side
    1,295.37x = 812,235.67
  5. Step 5: Solve for x
    x = 812,235.67/1,295.37
  6. Step 6: Final answer
    x = 627.03

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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.