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Finding the Fourth Proportional to 1,482.76, 2,224.14 and 618.04

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Solution

The fourth proportional to 1,482.76, 2,224.14 and 618.04 is: 927.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,482.76 : 2,224.14 = 618.04 : x
  2. Step 2: Convert to fraction form
    1,482.76/2,224.14 = 618.04/x
  3. Step 3: Cross multiply
    1,482.76x = 2,224.14 × 618.04
  4. Step 4: Simplify right side
    1,482.76x = 1,374,607.49
  5. Step 5: Solve for x
    x = 1,374,607.49/1,482.76
  6. Step 6: Final answer
    x = 927.06

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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.