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Finding the Fourth Proportional to 972.36, 1,457.82 and 837

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Solution

The fourth proportional to 972.36, 1,457.82 and 837 is: 1,254.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.36 : 1,457.82 = 837 : x
  2. Step 2: Convert to fraction form
    972.36/1,457.82 = 837/x
  3. Step 3: Cross multiply
    972.36x = 1,457.82 × 837
  4. Step 4: Simplify right side
    972.36x = 1,220,195.34
  5. Step 5: Solve for x
    x = 1,220,195.34/972.36
  6. Step 6: Final answer
    x = 1,254.88

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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.