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Finding the Fourth Proportional to 972, 1,456.74 and 649.44

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Solution

The fourth proportional to 972, 1,456.74 and 649.44 is: 973.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    972 : 1,456.74 = 649.44 : x
  2. Step 2: Convert to fraction form
    972/1,456.74 = 649.44/x
  3. Step 3: Cross multiply
    972x = 1,456.74 × 649.44
  4. Step 4: Simplify right side
    972x = 946,065.23
  5. Step 5: Solve for x
    x = 946,065.23/972
  6. Step 6: Final answer
    x = 973.32

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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.