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Finding the Fourth Proportional to 1,420.95, 1,960.01 and 917.46

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Solution

The fourth proportional to 1,420.95, 1,960.01 and 917.46 is: 1,265.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.95 : 1,960.01 = 917.46 : x
  2. Step 2: Convert to fraction form
    1,420.95/1,960.01 = 917.46/x
  3. Step 3: Cross multiply
    1,420.95x = 1,960.01 × 917.46
  4. Step 4: Simplify right side
    1,420.95x = 1,798,229.63
  5. Step 5: Solve for x
    x = 1,798,229.63/1,420.95
  6. Step 6: Final answer
    x = 1,265.51

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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.