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Finding the Fourth Proportional to 1,263.68, 1,895.17 and 532.83

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Solution

The fourth proportional to 1,263.68, 1,895.17 and 532.83 is: 799.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263.68 : 1,895.17 = 532.83 : x
  2. Step 2: Convert to fraction form
    1,263.68/1,895.17 = 532.83/x
  3. Step 3: Cross multiply
    1,263.68x = 1,895.17 × 532.83
  4. Step 4: Simplify right side
    1,263.68x = 1,009,803.43
  5. Step 5: Solve for x
    x = 1,009,803.43/1,263.68
  6. Step 6: Final answer
    x = 799.10

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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.