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Finding the Fourth Proportional to 972.12, 1,456.23 and 710.82

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Solution

The fourth proportional to 972.12, 1,456.23 and 710.82 is: 1,064.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.12 : 1,456.23 = 710.82 : x
  2. Step 2: Convert to fraction form
    972.12/1,456.23 = 710.82/x
  3. Step 3: Cross multiply
    972.12x = 1,456.23 × 710.82
  4. Step 4: Simplify right side
    972.12x = 1,035,117.41
  5. Step 5: Solve for x
    x = 1,035,117.41/972.12
  6. Step 6: Final answer
    x = 1,064.80

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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.