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Finding the Fourth Proportional to 1,428.80, 1,971.88 and 869.14

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Solution

The fourth proportional to 1,428.80, 1,971.88 and 869.14 is: 1,199.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.80 : 1,971.88 = 869.14 : x
  2. Step 2: Convert to fraction form
    1,428.80/1,971.88 = 869.14/x
  3. Step 3: Cross multiply
    1,428.80x = 1,971.88 × 869.14
  4. Step 4: Simplify right side
    1,428.80x = 1,713,839.78
  5. Step 5: Solve for x
    x = 1,713,839.78/1,428.80
  6. Step 6: Final answer
    x = 1,199.50

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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.