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Finding the Fourth Proportional to 860.97, 1,188.14 and 468.00

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Solution

The fourth proportional to 860.97, 1,188.14 and 468.00 is: 645.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.97 : 1,188.14 = 468.00 : x
  2. Step 2: Convert to fraction form
    860.97/1,188.14 = 468.00/x
  3. Step 3: Cross multiply
    860.97x = 1,188.14 × 468.00
  4. Step 4: Simplify right side
    860.97x = 556,043.58
  5. Step 5: Solve for x
    x = 556,043.58/860.97
  6. Step 6: Final answer
    x = 645.83

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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.