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Finding the Fourth Proportional to 1,214.87, 1,820.57 and 555.12

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Solution

The fourth proportional to 1,214.87, 1,820.57 and 555.12 is: 831.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.87 : 1,820.57 = 555.12 : x
  2. Step 2: Convert to fraction form
    1,214.87/1,820.57 = 555.12/x
  3. Step 3: Cross multiply
    1,214.87x = 1,820.57 × 555.12
  4. Step 4: Simplify right side
    1,214.87x = 1,010,636.21
  5. Step 5: Solve for x
    x = 1,010,636.21/1,214.87
  6. Step 6: Final answer
    x = 831.89

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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.