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Finding the Fourth Proportional to 1,263.42, 1,894.83 and 532.60

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Solution

The fourth proportional to 1,263.42, 1,894.83 and 532.60 is: 798.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263.42 : 1,894.83 = 532.60 : x
  2. Step 2: Convert to fraction form
    1,263.42/1,894.83 = 532.60/x
  3. Step 3: Cross multiply
    1,263.42x = 1,894.83 × 532.60
  4. Step 4: Simplify right side
    1,263.42x = 1,009,179.72
  5. Step 5: Solve for x
    x = 1,009,179.72/1,263.42
  6. Step 6: Final answer
    x = 798.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.