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Finding the Fourth Proportional to 1,317.81, 1,972.43 and 971.01

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Solution

The fourth proportional to 1,317.81, 1,972.43 and 971.01 is: 1,453.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.81 : 1,972.43 = 971.01 : x
  2. Step 2: Convert to fraction form
    1,317.81/1,972.43 = 971.01/x
  3. Step 3: Cross multiply
    1,317.81x = 1,972.43 × 971.01
  4. Step 4: Simplify right side
    1,317.81x = 1,915,248.04
  5. Step 5: Solve for x
    x = 1,915,248.04/1,317.81
  6. Step 6: Final answer
    x = 1,453.35

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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.