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Finding the Fourth Proportional to 972.69, 1,341.36 and 762.54

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Solution

The fourth proportional to 972.69, 1,341.36 and 762.54 is: 1,051.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.69 : 1,341.36 = 762.54 : x
  2. Step 2: Convert to fraction form
    972.69/1,341.36 = 762.54/x
  3. Step 3: Cross multiply
    972.69x = 1,341.36 × 762.54
  4. Step 4: Simplify right side
    972.69x = 1,022,840.65
  5. Step 5: Solve for x
    x = 1,022,840.65/972.69
  6. Step 6: Final answer
    x = 1,051.56

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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.