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Finding the Fourth Proportional to 1,341.44, 2,011.68 and 725.60

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Solution

The fourth proportional to 1,341.44, 2,011.68 and 725.60 is: 1,088.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,341.44 : 2,011.68 = 725.60 : x
  2. Step 2: Convert to fraction form
    1,341.44/2,011.68 = 725.60/x
  3. Step 3: Cross multiply
    1,341.44x = 2,011.68 × 725.60
  4. Step 4: Simplify right side
    1,341.44x = 1,459,675.01
  5. Step 5: Solve for x
    x = 1,459,675.01/1,341.44
  6. Step 6: Final answer
    x = 1,088.14

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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.