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Finding the Fourth Proportional to 1,200.50, 1,656.69 and 648.50

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Solution

The fourth proportional to 1,200.50, 1,656.69 and 648.50 is: 894.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.50 : 1,656.69 = 648.50 : x
  2. Step 2: Convert to fraction form
    1,200.50/1,656.69 = 648.50/x
  3. Step 3: Cross multiply
    1,200.50x = 1,656.69 × 648.50
  4. Step 4: Simplify right side
    1,200.50x = 1,074,363.47
  5. Step 5: Solve for x
    x = 1,074,363.47/1,200.50
  6. Step 6: Final answer
    x = 894.93

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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.