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Finding the Fourth Proportional to 972.51, 1,450.85 and 893.22

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Solution

The fourth proportional to 972.51, 1,450.85 and 893.22 is: 1,332.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.51 : 1,450.85 = 893.22 : x
  2. Step 2: Convert to fraction form
    972.51/1,450.85 = 893.22/x
  3. Step 3: Cross multiply
    972.51x = 1,450.85 × 893.22
  4. Step 4: Simplify right side
    972.51x = 1,295,928.24
  5. Step 5: Solve for x
    x = 1,295,928.24/972.51
  6. Step 6: Final answer
    x = 1,332.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.