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Finding the Fourth Proportional to 1,262.53, 1,894.20 and 482.50

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Solution

The fourth proportional to 1,262.53, 1,894.20 and 482.50 is: 723.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,262.53 : 1,894.20 = 482.50 : x
  2. Step 2: Convert to fraction form
    1,262.53/1,894.20 = 482.50/x
  3. Step 3: Cross multiply
    1,262.53x = 1,894.20 × 482.50
  4. Step 4: Simplify right side
    1,262.53x = 913,946.76
  5. Step 5: Solve for x
    x = 913,946.76/1,262.53
  6. Step 6: Final answer
    x = 723.90

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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.