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Finding the Fourth Proportional to 1,342.14, 1,850.76 and 869.51

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Solution

The fourth proportional to 1,342.14, 1,850.76 and 869.51 is: 1,199.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342.14 : 1,850.76 = 869.51 : x
  2. Step 2: Convert to fraction form
    1,342.14/1,850.76 = 869.51/x
  3. Step 3: Cross multiply
    1,342.14x = 1,850.76 × 869.51
  4. Step 4: Simplify right side
    1,342.14x = 1,609,245.07
  5. Step 5: Solve for x
    x = 1,609,245.07/1,342.14
  6. Step 6: Final answer
    x = 1,199.01

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.