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Finding the Fourth Proportional to 972.86, 1,456.54 and 896.31

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Solution

The fourth proportional to 972.86, 1,456.54 and 896.31 is: 1,341.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.86 : 1,456.54 = 896.31 : x
  2. Step 2: Convert to fraction form
    972.86/1,456.54 = 896.31/x
  3. Step 3: Cross multiply
    972.86x = 1,456.54 × 896.31
  4. Step 4: Simplify right side
    972.86x = 1,305,509.13
  5. Step 5: Solve for x
    x = 1,305,509.13/972.86
  6. Step 6: Final answer
    x = 1,341.94

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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.