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Finding the Fourth Proportional to 1,381.10, 2,071.08 and 559.15

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Solution

The fourth proportional to 1,381.10, 2,071.08 and 559.15 is: 838.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381.10 : 2,071.08 = 559.15 : x
  2. Step 2: Convert to fraction form
    1,381.10/2,071.08 = 559.15/x
  3. Step 3: Cross multiply
    1,381.10x = 2,071.08 × 559.15
  4. Step 4: Simplify right side
    1,381.10x = 1,158,039.20
  5. Step 5: Solve for x
    x = 1,158,039.20/1,381.10
  6. Step 6: Final answer
    x = 838.49

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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.