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Finding the Fourth Proportional to 1,068.14, 1,601.42 and 720.50

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Solution

The fourth proportional to 1,068.14, 1,601.42 and 720.50 is: 1,080.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,068.14 : 1,601.42 = 720.50 : x
  2. Step 2: Convert to fraction form
    1,068.14/1,601.42 = 720.50/x
  3. Step 3: Cross multiply
    1,068.14x = 1,601.42 × 720.50
  4. Step 4: Simplify right side
    1,068.14x = 1,153,826.21
  5. Step 5: Solve for x
    x = 1,153,826.21/1,068.14
  6. Step 6: Final answer
    x = 1,080.22

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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.