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Finding the Fourth Proportional to 1,263.35, 1,894.54 and 385.58

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Solution

The fourth proportional to 1,263.35, 1,894.54 and 385.58 is: 578.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263.35 : 1,894.54 = 385.58 : x
  2. Step 2: Convert to fraction form
    1,263.35/1,894.54 = 385.58/x
  3. Step 3: Cross multiply
    1,263.35x = 1,894.54 × 385.58
  4. Step 4: Simplify right side
    1,263.35x = 730,494.57
  5. Step 5: Solve for x
    x = 730,494.57/1,263.35
  6. Step 6: Final answer
    x = 578.22

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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.