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Finding the Fourth Proportional to 1,262.60, 1,894.07 and 522.10

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Solution

The fourth proportional to 1,262.60, 1,894.07 and 522.10 is: 783.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,262.60 : 1,894.07 = 522.10 : x
  2. Step 2: Convert to fraction form
    1,262.60/1,894.07 = 522.10/x
  3. Step 3: Cross multiply
    1,262.60x = 1,894.07 × 522.10
  4. Step 4: Simplify right side
    1,262.60x = 988,893.95
  5. Step 5: Solve for x
    x = 988,893.95/1,262.60
  6. Step 6: Final answer
    x = 783.22

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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.