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Finding the Fourth Proportional to 1,213.80, 1,820.84 and 597.53

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Solution

The fourth proportional to 1,213.80, 1,820.84 and 597.53 is: 896.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.80 : 1,820.84 = 597.53 : x
  2. Step 2: Convert to fraction form
    1,213.80/1,820.84 = 597.53/x
  3. Step 3: Cross multiply
    1,213.80x = 1,820.84 × 597.53
  4. Step 4: Simplify right side
    1,213.80x = 1,087,994.43
  5. Step 5: Solve for x
    x = 1,087,994.43/1,213.80
  6. Step 6: Final answer
    x = 896.35

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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.