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Finding the Fourth Proportional to 1,263.18, 1,894.86 and 385.76

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Solution

The fourth proportional to 1,263.18, 1,894.86 and 385.76 is: 578.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263.18 : 1,894.86 = 385.76 : x
  2. Step 2: Convert to fraction form
    1,263.18/1,894.86 = 385.76/x
  3. Step 3: Cross multiply
    1,263.18x = 1,894.86 × 385.76
  4. Step 4: Simplify right side
    1,263.18x = 730,951.72
  5. Step 5: Solve for x
    x = 730,951.72/1,263.18
  6. Step 6: Final answer
    x = 578.66

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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.