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Finding the Fourth Proportional to 1,443.17, 2,164.95 and 468.95

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Solution

The fourth proportional to 1,443.17, 2,164.95 and 468.95 is: 703.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,443.17 : 2,164.95 = 468.95 : x
  2. Step 2: Convert to fraction form
    1,443.17/2,164.95 = 468.95/x
  3. Step 3: Cross multiply
    1,443.17x = 2,164.95 × 468.95
  4. Step 4: Simplify right side
    1,443.17x = 1,015,242.48
  5. Step 5: Solve for x
    x = 1,015,242.48/1,443.17
  6. Step 6: Final answer
    x = 703.48

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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.