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Finding the Fourth Proportional to 1,200.59, 1,656.71 and 696.06

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Solution

The fourth proportional to 1,200.59, 1,656.71 and 696.06 is: 960.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.59 : 1,656.71 = 696.06 : x
  2. Step 2: Convert to fraction form
    1,200.59/1,656.71 = 696.06/x
  3. Step 3: Cross multiply
    1,200.59x = 1,656.71 × 696.06
  4. Step 4: Simplify right side
    1,200.59x = 1,153,166.08
  5. Step 5: Solve for x
    x = 1,153,166.08/1,200.59
  6. Step 6: Final answer
    x = 960.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.