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Finding the Fourth Proportional to 1,263.57, 1,894.91 and 532.76

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Solution

The fourth proportional to 1,263.57, 1,894.91 and 532.76 is: 798.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263.57 : 1,894.91 = 532.76 : x
  2. Step 2: Convert to fraction form
    1,263.57/1,894.91 = 532.76/x
  3. Step 3: Cross multiply
    1,263.57x = 1,894.91 × 532.76
  4. Step 4: Simplify right side
    1,263.57x = 1,009,520.11
  5. Step 5: Solve for x
    x = 1,009,520.11/1,263.57
  6. Step 6: Final answer
    x = 798.94

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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.