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Finding the Fourth Proportional to 1,214.60, 1,822.07 and 474.07

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Solution

The fourth proportional to 1,214.60, 1,822.07 and 474.07 is: 711.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.60 : 1,822.07 = 474.07 : x
  2. Step 2: Convert to fraction form
    1,214.60/1,822.07 = 474.07/x
  3. Step 3: Cross multiply
    1,214.60x = 1,822.07 × 474.07
  4. Step 4: Simplify right side
    1,214.60x = 863,788.72
  5. Step 5: Solve for x
    x = 863,788.72/1,214.60
  6. Step 6: Final answer
    x = 711.17

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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.