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Finding the Fourth Proportional to 1,356.68, 2,033.76 and 706.64

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Solution

The fourth proportional to 1,356.68, 2,033.76 and 706.64 is: 1,059.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.68 : 2,033.76 = 706.64 : x
  2. Step 2: Convert to fraction form
    1,356.68/2,033.76 = 706.64/x
  3. Step 3: Cross multiply
    1,356.68x = 2,033.76 × 706.64
  4. Step 4: Simplify right side
    1,356.68x = 1,437,136.17
  5. Step 5: Solve for x
    x = 1,437,136.17/1,356.68
  6. Step 6: Final answer
    x = 1,059.30

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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.